125081952 has 24 divisors (see below), whose sum is σ = 328340376. Its totient is φ = 41693952.

The previous prime is 125081933. The next prime is 125081987. The reversal of 125081952 is 259180521.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×125081952² = 31290989432260608, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 651373 + ... + 651564.

It is an arithmetic number, because the mean of its divisors is an integer number (13680849).

Almost surely, 2^125081952 is an apocalyptic number.

125081952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125081952 is an abundant number, since it is smaller than the sum of its proper divisors (203258424).

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

125081952 is a wasteful number, since it uses less digits than its factorization.

125081952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302950 (or 1302942 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 125081952 is about 11184.0042918447. The cubic root of 125081952 is about 500.1092454625.

The spelling of 125081952 in words is "one hundred twenty-five million, eighty-one thousand, nine hundred fifty-two".