125304144 has 80 divisors (see below), whose sum is σ = 391724928. Its totient is φ = 33693696.

The previous prime is 125304143. The next prime is 125304181. The reversal of 125304144 is 441403521.

It is a super-2 number, since 2×125304144² = 31402257007145472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125304143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5257 + ... + 16680.

Almost surely, 2^125304144 is an apocalyptic number.

125304144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

125304144 is an abundant number, since it is smaller than the sum of its proper divisors (266420784).

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

125304144 is a wasteful number, since it uses less digits than its factorization.

125304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21972 (or 21966 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 125304144 is about 11193.9333569572. The cubic root of 125304144 is about 500.4051968756.

Adding to 125304144 its reverse (441403521), we get a palindrome (566707665).

The spelling of 125304144 in words is "one hundred twenty-five million, three hundred four thousand, one hundred forty-four".