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151976136 = 233131931827
BaseRepresentation
bin10010000111011…
…11100011001000
3101120222012001210
421003233203020
5302401214021
623025213120
73523530054
oct1103574310
9346865053
10151976136
1178871a14
1242a911a0
1325641510
1416280c64
15d51ee76
hex90ef8c8

151976136 has 128 divisors (see below), whose sum is σ = 445132800. Its totient is φ = 42819840.

The previous prime is 151976129. The next prime is 151976137. The reversal of 151976136 is 631679151.

It is a happy number.

151976136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 151976094 and 151976103.

It is not an unprimeable number, because it can be changed into a prime (151976137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183355 + ... + 184181.

It is an arithmetic number, because the mean of its divisors is an integer number (3477600).

Almost surely, 2151976136 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 151976136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222566400).

151976136 is an abundant number, since it is smaller than the sum of its proper divisors (293156664).

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

151976136 is a wasteful number, since it uses less digits than its factorization.

151976136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 895 counting only the distinct ones).

The product of its digits is 34020, while the sum is 39.

The square root of 151976136 is about 12327.8601549498. The cubic root of 151976136 is about 533.6523990120.

The spelling of 151976136 in words is "one hundred fifty-one million, nine hundred seventy-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 31 38 39 52 57 62 76 78 93 104 114 124 152 156 186 228 247 248 312 372 403 456 494 589 741 744 806 827 988 1178 1209 1482 1612 1654 1767 1976 2356 2418 2481 2964 3224 3308 3534 4712 4836 4962 5928 6616 7068 7657 9672 9924 10751 14136 15314 15713 19848 21502 22971 25637 30628 31426 32253 43004 45942 47139 51274 61256 62852 64506 76911 86008 91884 94278 102548 125704 129012 153822 183768 188556 204269 205096 258024 307644 333281 377112 408538 487103 612807 615288 666562 817076 974206 999843 1225614 1333124 1461309 1634152 1948412 1999686 2451228 2666248 2922618 3896824 3999372 4902456 5845236 6332339 7998744 11690472 12664678 18997017 25329356 37994034 50658712 75988068 151976136