125684430400 has 63 divisors (see below), whose sum is σ = 309297149121. Its totient is φ = 50268099840.

The previous prime is 125684430359. The next prime is 125684430409. The reversal of 125684430400 is 4034486521.

The square root of 125684430400 is 354520.

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., 45246394944 + 80438035456 = 212712^2 + 283616^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125684430400.

It is not an unprimeable number, because it can be changed into a prime (125684430409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14176369 + ... + 14185231.

Almost surely, 2^125684430400 is an apocalyptic number.

125684430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125684430400 is the 354520-th square number.

It is an amenable number.

125684430400 is an abundant number, since it is smaller than the sum of its proper divisors (183612718721).

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

125684430400 is an frugal number, since it uses more digits than its factorization.

125684430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17748 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 125684430400 in words is "one hundred twenty-five billion, six hundred eighty-four million, four hundred thirty thousand, four hundred".