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151660146132 = 2232111394576029
BaseRepresentation
bin1000110100111110100…
…1100010110111010100
3112111110110022200020100
42031033221202313110
54441044444134012
6153401031134100
713646164654305
oct2151751426724
9474413280210
10151660146132
1159356220550
1225486814330
13113bc4b3851
1474aa0607ac
153e2970e8dc
hex234fa62dd4

151660146132 has 144 divisors (see below), whose sum is σ = 422214811200. Its totient is φ = 45519598080.

The previous prime is 151660146103. The next prime is 151660146167. The reversal of 151660146132 is 231641066151.

151660146132 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 601 + 46 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×1516601461322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25152094 + ... + 25158122.

It is an arithmetic number, because the mean of its divisors is an integer number (2932047300).

Almost surely, 2151660146132 is an apocalyptic number.

151660146132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151660146132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211107405600).

151660146132 is an abundant number, since it is smaller than the sum of its proper divisors (270554665068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151660146132 is a wasteful number, since it uses less digits than its factorization.

151660146132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 151660 and 146132, that added together give a palindrome (297792).

The spelling of 151660146132 in words is "one hundred fifty-one billion, six hundred sixty million, one hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 139 198 278 396 417 457 556 834 914 1251 1371 1529 1668 1828 2502 2742 3058 4113 4587 5004 5027 5484 6029 6116 8226 9174 10054 12058 13761 15081 16452 18087 18348 20108 24116 27522 30162 36174 45243 54261 55044 60324 63523 66319 72348 90486 108522 127046 132638 180972 190569 198957 217044 254092 265276 381138 397914 571707 596871 698753 762276 795828 838031 1143414 1193742 1397506 1676062 2096259 2286828 2387484 2514093 2755253 2795012 3352124 4192518 5028186 5510506 6288777 7542279 8265759 8385036 9218341 10056372 11021012 12577554 15084558 16531518 18436682 24797277 25155108 27655023 30169116 30307783 33063036 36873364 49594554 55310046 60615566 82965069 90923349 99189108 110620092 121231132 165930138 181846698 272770047 331860276 363693396 382980167 545540094 765960334 1091080188 1148940501 1531920668 2297881002 3446821503 4212781837 4595762004 6893643006 8425563674 12638345511 13787286012 16851127348 25276691022 37915036533 50553382044 75830073066 151660146132