137164992 has 56 divisors (see below), whose sum is σ = 363778800. Its totient is φ = 45613056.

The previous prime is 137164961. The next prime is 137165023. The reversal of 137164992 is 299461731.

It is an interprime number because it is at equal distance from previous prime (137164961) and next prime (137165023).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147184 + ... + 148112.

It is an arithmetic number, because the mean of its divisors is an integer number (6496050).

Almost surely, 2^137164992 is an apocalyptic number.

137164992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137164992 is an abundant number, since it is smaller than the sum of its proper divisors (226613808).

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

137164992 is an equidigital number, since it uses as much as digits as its factorization.

137164992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1703 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 137164992 is about 11711.7458988829. The cubic root of 137164992 is about 515.7205385356.

It can be divided in two parts, 13 and 7164992, that added together give a triangular number (7165005 = T₃₇₈₅).

The spelling of 137164992 in words is "one hundred thirty-seven million, one hundred sixty-four thousand, nine hundred ninety-two".