137940374400 has 96 divisors (see below), whose sum is σ = 454341139800. Its totient is φ = 36784097280.

The previous prime is 137940374389. The next prime is 137940374419. The reversal of 137940374400 is 4473049731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×137940374400² (a number of 23 digits) contains 22 as substring.

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, 7174795 + ... + 7193994.

Almost surely, 2^137940374400 is an apocalyptic number.

137940374400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137940374400 is an abundant number, since it is smaller than the sum of its proper divisors (316400765400).

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

137940374400 is a wasteful number, since it uses less digits than its factorization.

137940374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14368816 (or 14368799 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 137940374400 in words is "one hundred thirty-seven billion, nine hundred forty million, three hundred seventy-four thousand, four hundred".