130637707200 has 3360 divisors, whose sum is σ = 691470743040. Its totient is φ = 23290675200.

The previous prime is 130637707171. The next prime is 130637707231. The reversal of 130637707200 is 2707736031.

130637707200 is a `hidden beast` number, since 13 + 0 + 637 + 7 + 0 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2464862374 + ... + 2464862426.

It is an arithmetic number, because the mean of its divisors is an integer number (205794864).

Almost surely, 2^130637707200 is an apocalyptic number.

130637707200 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 130637707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345735371520).

130637707200 is an abundant number, since it is smaller than the sum of its proper divisors (560833035840).

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

130637707200 is a wasteful number, since it uses less digits than its factorization.

130637707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 130637707200 in words is "one hundred thirty billion, six hundred thirty-seven million, seven hundred seven thousand, two hundred".