137200406320 has 40 divisors (see below), whose sum is σ = 321502708224. Its totient is φ = 54448031232.

The previous prime is 137200406251. The next prime is 137200406351. The reversal of 137200406320 is 23604002731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×137200406320⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6741829 + ... + 6762148.

Almost surely, 2^137200406320 is an apocalyptic number.

137200406320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137200406320 is an abundant number, since it is smaller than the sum of its proper divisors (184302301904).

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

137200406320 is a wasteful number, since it uses less digits than its factorization.

137200406320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504117 (or 13504111 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 137200406320 in words is "one hundred thirty-seven billion, two hundred million, four hundred six thousand, three hundred twenty".