125525400 has 576 divisors, whose sum is σ = 554131200. Its totient is φ = 22809600.

The previous prime is 125525363. The next prime is 125525437. The reversal of 125525400 is 4525521.

125525400 = 865² + 866² + ... + 1007².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125525363) and next prime (125525437).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 6606591 + ... + 6606609.

Almost surely, 2^125525400 is an apocalyptic number.

125525400 is a gapful number since it is divisible by the number (10) 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 125525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277065600).

125525400 is an abundant number, since it is smaller than the sum of its proper divisors (428605800).

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

125525400 is a wasteful number, since it uses less digits than its factorization.

125525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 125525400 is about 11203.8118513299. The cubic root of 125525400 is about 500.6995541249.

It can be divided in two parts, 125 and 525400, that added together give a palindrome (525525).

The spelling of 125525400 in words is "one hundred twenty-five million, five hundred twenty-five thousand, four hundred".