137681334800 has 60 divisors (see below), whose sum is σ = 333159249360. Its totient is φ = 54676306560.

The previous prime is 137681334733. The next prime is 137681334827. The reversal of 137681334800 is 8433186731.

It is a super-2 number, since 2×137681334800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182542 + ... + 1293741.

It is an arithmetic number, because the mean of its divisors is an integer number (5552654156).

Almost surely, 2^137681334800 is an apocalyptic number.

137681334800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137681334800 is an abundant number, since it is smaller than the sum of its proper divisors (195477914560).

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

137681334800 is a wasteful number, since it uses less digits than its factorization.

137681334800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476440 (or 2476429 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 137681334800 in words is "one hundred thirty-seven billion, six hundred eighty-one million, three hundred thirty-four thousand, eight hundred".