125515962 has 144 divisors (see below), whose sum is σ = 334354176. Its totient is φ = 33976800.

The previous prime is 125515939. The next prime is 125516021. The reversal of 125515962 is 269515521.

125515962 is a `hidden beast` number, since 12 + 5 + 51 + 596 + 2 = 666.

Its product of digits (27000) is a multiple of the sum of its prime divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4048887 + ... + 4048917.

It is an arithmetic number, because the mean of its divisors is an integer number (2321904).

Almost surely, 2^125515962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125515962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167177088).

125515962 is an abundant number, since it is smaller than the sum of its proper divisors (208838214).

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

125515962 is a wasteful number, since it uses less digits than its factorization.

125515962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 125515962 is about 11203.3906474781. The cubic root of 125515962 is about 500.6870049494.

The spelling of 125515962 in words is "one hundred twenty-five million, five hundred fifteen thousand, nine hundred sixty-two".