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151144164 = 223319731009
BaseRepresentation
bin10010000001001…
…00011011100100
3101112101220211000
421000210123210
5302143103124
622555313300
73513463353
oct1100443344
9345356730
10151144164
1178353936
124274b830
132540c922
141610599a
15d4086c9
hex90246e4

151144164 has 96 divisors (see below), whose sum is σ = 418544000. Its totient is φ = 47029248.

The previous prime is 151144159. The next prime is 151144171. The reversal of 151144164 is 461441151.

It is a super-2 number, since 2×1511441642 = 45689116622517792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149292 + ... + 150300.

Almost surely, 2151144164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151144164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209272000).

151144164 is an abundant number, since it is smaller than the sum of its proper divisors (267399836).

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

151144164 is a wasteful number, since it uses less digits than its factorization.

151144164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1106 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 151144164 is about 12294.0702779836. The cubic root of 151144164 is about 532.6768149189.

The spelling of 151144164 in words is "one hundred fifty-one million, one hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 73 76 108 114 146 171 219 228 292 342 438 513 657 684 876 1009 1026 1314 1387 1971 2018 2052 2628 2774 3027 3942 4036 4161 5548 6054 7884 8322 9081 12108 12483 16644 18162 19171 24966 27243 36324 37449 38342 49932 54486 57513 73657 74898 76684 108972 115026 147314 149796 172539 220971 230052 294628 345078 441942 517617 662913 690156 883884 1035234 1325826 1399483 1988739 2070468 2651652 2798966 3977478 4198449 5597932 7954956 8396898 12595347 16793796 25190694 37786041 50381388 75572082 151144164