125640340200 has 288 divisors, whose sum is σ = 437422003200. Its totient is φ = 32284224000.

The previous prime is 125640340171. The next prime is 125640340213. The reversal of 125640340200 is 2043046521.

125640340200 is a `hidden beast` number, since 1 + 2 + 56 + 403 + 4 + 0 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13331490 + ... + 13340910.

It is an arithmetic number, because the mean of its divisors is an integer number (1518826400).

Almost surely, 2^125640340200 is an apocalyptic number.

125640340200 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 125640340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218711001600).

125640340200 is an abundant number, since it is smaller than the sum of its proper divisors (311781663000).

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

125640340200 is a wasteful number, since it uses less digits than its factorization.

125640340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713 (or 9701 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 125640340200 its reverse (2043046521), we get a palindrome (127683386721).

The spelling of 125640340200 in words is "one hundred twenty-five billion, six hundred forty million, three hundred forty thousand, two hundred".