125809459200 has 684 divisors, whose sum is σ = 473284360640. Its totient is φ = 33124515840.

The previous prime is 125809459189. The next prime is 125809459207. The reversal of 125809459200 is 2954908521.

It is a happy number.

125809459200 is a `hidden beast` number, since 1 + 2 + 58 + 0 + 9 + 4 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125809459207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1592524761 + ... + 1592524839.

Almost surely, 2^125809459200 is an apocalyptic number.

125809459200 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 125809459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236642180320).

125809459200 is an abundant number, since it is smaller than the sum of its proper divisors (347474901440).

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

125809459200 is an frugal number, since it uses more digits than its factorization.

125809459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 125809459200 in words is "one hundred twenty-five billion, eight hundred nine million, four hundred fifty-nine thousand, two hundred".