125265152 has 72 divisors (see below), whose sum is σ = 264902400. Its totient is φ = 59021312.

The previous prime is 125265137. The next prime is 125265193. The reversal of 125265152 is 251562521.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a nialpdrome in base 16.

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 7 ways as a sum of consecutive naturals, for example, 348749 + ... + 349107.

It is an arithmetic number, because the mean of its divisors is an integer number (3679200).

Almost surely, 2^125265152 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 125265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132451200).

125265152 is an abundant number, since it is smaller than the sum of its proper divisors (139637248).

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

125265152 is an equidigital number, since it uses as much as digits as its factorization.

125265152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its digits is 6000, while the sum is 29.

The square root of 125265152 is about 11192.1915637644. The cubic root of 125265152 is about 500.3532863188.

The spelling of 125265152 in words is "one hundred twenty-five million, two hundred sixty-five thousand, one hundred fifty-two".