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152125168 = 24137110301
BaseRepresentation
bin10010001000100…
…11111011110000
3101121020202111111
421010103323300
5302421001133
623032323104
73525020416
oct1104237360
9347222444
10152125168
1178963988
1242b43494
13256942c0
14162bd2b6
15d54e1cd
hex9113ef0

152125168 has 40 divisors (see below), whose sum is σ = 321916896. Its totient is φ = 69216000.

The previous prime is 152125123. The next prime is 152125177. The reversal of 152125168 is 861521251.

It is a congruent number.

It is an unprimeable number.

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, 9618 + ... + 19918.

Almost surely, 2152125168 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 152125168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160958448).

152125168 is an abundant number, since it is smaller than the sum of its proper divisors (169791728).

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

152125168 is a wasteful number, since it uses less digits than its factorization.

152125168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10387 counting only the distinct ones).

The product of its digits is 4800, while the sum is 31.

The square root of 152125168 is about 12333.9031940420. The cubic root of 152125168 is about 533.8267801215.

The spelling of 152125168 in words is "one hundred fifty-two million, one hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 3692 7384 10301 14768 20602 41204 82408 133913 164816 267826 535652 731371 1071304 1462742 2142608 2925484 5850968 9507823 11701936 19015646 38031292 76062584 152125168