125808144 has 80 divisors (see below), whose sum is σ = 405212160. Its totient is φ = 32676480.

The previous prime is 125808113. The next prime is 125808157. The reversal of 125808144 is 441808521.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13324 + ... + 20715.

It is an arithmetic number, because the mean of its divisors is an integer number (5065152).

Almost surely, 2^125808144 is an apocalyptic number.

125808144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

125808144 is an abundant number, since it is smaller than the sum of its proper divisors (279404016).

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

125808144 is a wasteful number, since it uses less digits than its factorization.

125808144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34068 (or 34062 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 125808144 is about 11216.4229592148. The cubic root of 125808144 is about 501.0752115163.

The spelling of 125808144 in words is "one hundred twenty-five million, eight hundred eight thousand, one hundred forty-four".