125165664 has 144 divisors (see below), whose sum is σ = 388284624. Its totient is φ = 38016000.

The previous prime is 125165641. The next prime is 125165669. The reversal of 125165664 is 466561521.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (43200) is a multiple of the sum of its prime divisors (450).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125165669) 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 23 ways as a sum of consecutive naturals, for example, 377979 + ... + 378309.

It is an arithmetic number, because the mean of its divisors is an integer number (2696421).

Almost surely, 2^125165664 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 125165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194142312).

125165664 is an abundant number, since it is smaller than the sum of its proper divisors (263118960).

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

125165664 is a wasteful number, since it uses less digits than its factorization.

125165664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

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

The square root of 125165664 is about 11187.7461537166. The cubic root of 125165664 is about 500.2207878245.

The spelling of 125165664 in words is "one hundred twenty-five million, one hundred sixty-five thousand, six hundred sixty-four".