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152125164 = 22324878677
BaseRepresentation
bin10010001000100…
…11111011101100
3101121020202111100
421010103323230
5302421001124
623032323100
73525020412
oct1104237354
9347222440
10152125164
1178963984
1242b43490
13256942b9
14162bd2b2
15d54e1c9
hex9113eec

152125164 has 36 divisors (see below), whose sum is σ = 385372624. Its totient is φ = 50598432.

The previous prime is 152125123. The next prime is 152125177. The reversal of 152125164 is 461521251.

152125164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13194 + ... + 21870.

Almost surely, 2152125164 is an apocalyptic number.

It is an amenable number.

152125164 is an abundant number, since it is smaller than the sum of its proper divisors (233247460).

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

152125164 is a wasteful number, since it uses less digits than its factorization.

152125164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9169 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 152125164 is about 12333.9030318874. The cubic root of 152125164 is about 533.8267754427.

It can be divided in two parts, 152 and 125164, that added together give a square (125316 = 3542).

The spelling of 152125164 in words is "one hundred fifty-two million, one hundred twenty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 487 974 1461 1948 2922 4383 5844 8677 8766 17354 17532 26031 34708 52062 78093 104124 156186 312372 4225699 8451398 12677097 16902796 25354194 38031291 50708388 76062582 152125164