137130946800 has 60 divisors (see below), whose sum is σ = 439276136760. Its totient is φ = 36568252160.

The previous prime is 137130946787. The next prime is 137130946819. The reversal of 137130946800 is 8649031731.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57136695 + ... + 57139094.

It is an arithmetic number, because the mean of its divisors is an integer number (7321268946).

Almost surely, 2^137130946800 is an apocalyptic number.

137130946800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137130946800 is an abundant number, since it is smaller than the sum of its proper divisors (302145189960).

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

137130946800 is a wasteful number, since it uses less digits than its factorization.

137130946800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114275810 (or 114275799 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 137130946800 in words is "one hundred thirty-seven billion, one hundred thirty million, nine hundred forty-six thousand, eight hundred".