125157408 has 96 divisors (see below), whose sum is σ = 351993600. Its totient is φ = 38820096.

The previous prime is 125157377. The next prime is 125157413. The reversal of 125157408 is 804751521.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 107035 + ... + 108197.

It is an arithmetic number, because the mean of its divisors is an integer number (3666600).

Almost surely, 2^125157408 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 125157408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175996800).

125157408 is an abundant number, since it is smaller than the sum of its proper divisors (226836192).

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

125157408 is a wasteful number, since it uses less digits than its factorization.

125157408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 125157408 is about 11187.3771725101. The cubic root of 125157408 is about 500.2097892979.

The spelling of 125157408 in words is "one hundred twenty-five million, one hundred fifty-seven thousand, four hundred eight".