125971164 has 90 divisors (see below), whose sum is σ = 351733200. Its totient is φ = 38013360.

The previous prime is 125971141. The next prime is 125971171. The reversal of 125971164 is 461179521.

125971164 is a `hidden beast` number, since 1 + 2 + 597 + 1 + 1 + 64 = 666.

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

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 29 ways as a sum of consecutive naturals, for example, 526957 + ... + 527195.

Almost surely, 2^125971164 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 125971164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175866600).

125971164 is an abundant number, since it is smaller than the sum of its proper divisors (225762036).

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

125971164 is a wasteful number, since it uses less digits than its factorization.

125971164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 255 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 125971164 is about 11223.6876292955. The cubic root of 125971164 is about 501.2915462772.

The spelling of 125971164 in words is "one hundred twenty-five million, nine hundred seventy-one thousand, one hundred sixty-four".