125992400 has 60 divisors (see below), whose sum is σ = 310914252. Its totient is φ = 49029120.

The previous prime is 125992387. The next prime is 125992403. The reversal of 125992400 is 4299521.

It can be written as a sum of positive squares in 6 ways, for example, as 19324816 + 106667584 = 4396^2 + 10328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125992403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10544 + ... + 19056.

Almost surely, 2^125992400 is an apocalyptic number.

125992400 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 125992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155457126).

125992400 is an abundant number, since it is smaller than the sum of its proper divisors (184921852).

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

125992400 is a wasteful number, since it uses less digits than its factorization.

125992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 125992400 is about 11224.6336243104. The cubic root of 125992400 is about 501.3197136472.

The spelling of 125992400 in words is "one hundred twenty-five million, nine hundred ninety-two thousand, four hundred".