125816400 has 90 divisors (see below), whose sum is σ = 436630350. Its totient is φ = 33550080.

The previous prime is 125816399. The next prime is 125816401. The reversal of 125816400 is 4618521.

125816400 is a `hidden beast` number, since 1 + 258 + 1 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (125816399) and next prime (125816401).

It can be written as a sum of positive squares in 3 ways, for example, as 197136 + 125619264 = 444^2 + 11208^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125816401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13875 + ... + 21074.

Almost surely, 2^125816400 is an apocalyptic number.

125816400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125816400 is an abundant number, since it is smaller than the sum of its proper divisors (310813950).

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

125816400 is a wasteful number, since it uses less digits than its factorization.

125816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34973 (or 34959 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125816400 is about 11216.7909849475. The cubic root of 125816400 is about 501.0861720852.

It can be divided in two parts, 12581 and 6400, that added together give a palindrome (18981).

The spelling of 125816400 in words is "one hundred twenty-five million, eight hundred sixteen thousand, four hundred".