165125664 has 144 divisors (see below), whose sum is σ = 523635840. Its totient is φ = 48929280.

The previous prime is 165125663. The next prime is 165125669. The reversal of 165125664 is 466521561.

165125664 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 (144).

It is a super-2 number, since 2×165125664² = 54532969822881792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165125663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148342 + ... + 149450.

It is an arithmetic number, because the mean of its divisors is an integer number (3636360).

Almost surely, 2^165125664 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 165125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261817920).

165125664 is an abundant number, since it is smaller than the sum of its proper divisors (358510176).

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

165125664 is a wasteful number, since it uses less digits than its factorization.

165125664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1172 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 165125664 is about 12850.1231122507. The cubic root of 165125664 is about 548.6198608653.

The spelling of 165125664 in words is "one hundred sixty-five million, one hundred twenty-five thousand, six hundred sixty-four".