125259366400 has 405 divisors, whose sum is σ = 365981405769. Its totient is φ = 42402447360.

The previous prime is 125259366383. The next prime is 125259366433. The reversal of 125259366400 is 4663952521.

The square root of 125259366400 is 353920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45093371904 + 80165994496 = 212352^2 + 283136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1585561561 + ... + 1585561639.

Almost surely, 2^125259366400 is an apocalyptic number.

125259366400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125259366400 is the 353920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125259366400

125259366400 is an abundant number, since it is smaller than the sum of its proper divisors (240722039369).

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

125259366400 is an frugal number, since it uses more digits than its factorization.

125259366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 125259366400 in words is "one hundred twenty-five billion, two hundred fifty-nine million, three hundred sixty-six thousand, four hundred".