125793907200 has 1680 divisors, whose sum is σ = 541563915816. Its totient is φ = 28665446400.

The previous prime is 125793907117. The next prime is 125793907223. The reversal of 125793907200 is 2709397521.

125793907200 is a `hidden beast` number, since 1 + 2 + 57 + 9 + 390 + 7 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1224440064 + 124569467136 = 34992^2 + 352944^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2062195170 + ... + 2062195230.

Almost surely, 2^125793907200 is an apocalyptic number.

125793907200 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 125793907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270781957908).

125793907200 is an abundant number, since it is smaller than the sum of its proper divisors (415770008616).

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

125793907200 is an equidigital number, since it uses as much as digits as its factorization.

125793907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 125793907200 in words is "one hundred twenty-five billion, seven hundred ninety-three million, nine hundred seven thousand, two hundred".