125051520 has 256 divisors, whose sum is σ = 451215360. Its totient is φ = 29184000.

The previous prime is 125051491. The next prime is 125051543. The reversal of 125051520 is 25150521.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654625 + ... + 654815.

It is an arithmetic number, because the mean of its divisors is an integer number (1762560).

Almost surely, 2^125051520 is an apocalyptic number.

125051520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225607680).

125051520 is an abundant number, since it is smaller than the sum of its proper divisors (326163840).

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

125051520 is a wasteful number, since it uses less digits than its factorization.

125051520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 125051520 is about 11182.6436945831. The cubic root of 125051520 is about 500.0686838979.

Subtracting from 125051520 its reverse (25150521), we obtain a palindrome (99900999).

The spelling of 125051520 in words is "one hundred twenty-five million, fifty-one thousand, five hundred twenty".