125408064 has 112 divisors (see below), whose sum is σ = 348203520. Its totient is φ = 39782400.

The previous prime is 125408057. The next prime is 125408071. The reversal of 125408064 is 460804521.

It is an interprime number because it is at equal distance from previous prime (125408057) and next prime (125408071).

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 15 ways as a sum of consecutive naturals, for example, 562257 + ... + 562479.

It is an arithmetic number, because the mean of its divisors is an integer number (3108960).

Almost surely, 2^125408064 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 125408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760).

125408064 is an abundant number, since it is smaller than the sum of its proper divisors (222795456).

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

125408064 is a wasteful number, since it uses less digits than its factorization.

125408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 125408064 is about 11198.5741949589. The cubic root of 125408064 is about 500.5434943471.

The spelling of 125408064 in words is "one hundred twenty-five million, four hundred eight thousand, sixty-four".