125387136 has 256 divisors, whose sum is σ = 434764800. Its totient is φ = 34836480.

The previous prime is 125387123. The next prime is 125387149. The reversal of 125387136 is 631783521.

It is an interprime number because it is at equal distance from previous prime (125387123) and next prime (125387149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125387136.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1717596 + ... + 1717668.

It is an arithmetic number, because the mean of its divisors is an integer number (1698300).

Almost surely, 2^125387136 is an apocalyptic number.

125387136 is a gapful number since it is divisible by the number (16) 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 125387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217382400).

125387136 is an abundant number, since it is smaller than the sum of its proper divisors (309377664).

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

125387136 is an equidigital number, since it uses as much as digits as its factorization.

125387136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 125387136 is about 11197.6397513047. The cubic root of 125387136 is about 500.5156493620.

The spelling of 125387136 in words is "one hundred twenty-five million, three hundred eighty-seven thousand, one hundred thirty-six".