137807720 has 32 divisors (see below), whose sum is σ = 323550720. Its totient is φ = 52726080.

The previous prime is 137807711. The next prime is 137807731. The reversal of 137807720 is 27708731.

137807720 is nontrivially palindromic in base 6.

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 7 ways as a sum of consecutive naturals, for example, 73976 + ... + 75815.

It is an arithmetic number, because the mean of its divisors is an integer number (10110960).

Almost surely, 2^137807720 is an apocalyptic number.

137807720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137807720 is an abundant number, since it is smaller than the sum of its proper divisors (185743000).

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

137807720 is a wasteful number, since it uses less digits than its factorization.

137807720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149825 (or 149821 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 137807720 is about 11739.1532914431. The cubic root of 137807720 is about 516.5248050807.

The spelling of 137807720 in words is "one hundred thirty-seven million, eight hundred seven thousand, seven hundred twenty".