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152547136 = 2671632089
BaseRepresentation
bin10010001011110…
…10111101000000
3101122001012022221
421011322331000
5303023002021
623045340424
73531425560
oct1105727500
9348035287
10152547136
1179121a15
1243107714
13257b13a1
141638cda0
15d5d4241
hex917af40

152547136 has 56 divisors (see below), whose sum is σ = 348244160. Its totient is φ = 64945152.

The previous prime is 152547133. The next prime is 152547173. The reversal of 152547136 is 631745251.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152547133) 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 7 ways as a sum of consecutive naturals, for example, 71980 + ... + 74068.

Almost surely, 2152547136 is an apocalyptic number.

152547136 is a gapful number since it is divisible by the number (16) 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 152547136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174122080).

152547136 is an abundant number, since it is smaller than the sum of its proper divisors (195697024).

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

152547136 is a wasteful number, since it uses less digits than its factorization.

152547136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2261 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 152547136 is about 12350.9973686338. The cubic root of 152547136 is about 534.3199044504.

The spelling of 152547136 in words is "one hundred fifty-two million, five hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 163 224 326 448 652 1141 1304 2089 2282 2608 4178 4564 5216 8356 9128 10432 14623 16712 18256 29246 33424 36512 58492 66848 73024 116984 133696 233968 340507 467936 681014 935872 1362028 2383549 2724056 4767098 5448112 9534196 10896224 19068392 21792448 38136784 76273568 152547136