125315640 has 256 divisors, whose sum is σ = 456192000. Its totient is φ = 30481920.

The previous prime is 125315629. The next prime is 125315647. The reversal of 125315640 is 46513521.

125315640 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 15 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125315647) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 636022 + ... + 636218.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^125315640 is an apocalyptic number.

125315640 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 125315640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228096000).

125315640 is an abundant number, since it is smaller than the sum of its proper divisors (330876360).

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

125315640 is a wasteful number, since it uses less digits than its factorization.

125315640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125315640 is about 11194.4468376066. The cubic root of 125315640 is about 500.4204995944.

The spelling of 125315640 in words is "one hundred twenty-five million, three hundred fifteen thousand, six hundred forty".