125305164 has 96 divisors (see below), whose sum is σ = 347155200. Its totient is φ = 38949120.

The previous prime is 125305151. The next prime is 125305207. The reversal of 125305164 is 461503521.

125305164 = T₃₈₃₁ + T₃₈₃₂ + ... + T₃₈₄₇.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254959 + ... + 255449.

It is an arithmetic number, because the mean of its divisors is an integer number (3616200).

Almost surely, 2^125305164 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 125305164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173577600).

125305164 is an abundant number, since it is smaller than the sum of its proper divisors (221850036).

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

125305164 is a wasteful number, since it uses less digits than its factorization.

125305164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125305164 is about 11193.9789172573. The cubic root of 125305164 is about 500.4065546703.

Adding to 125305164 its reverse (461503521), we get a palindrome (586808685).

The spelling of 125305164 in words is "one hundred twenty-five million, three hundred five thousand, one hundred sixty-four".