137164512 has 48 divisors (see below), whose sum is σ = 361080720. Its totient is φ = 45591552.

The previous prime is 137164507. The next prime is 137164529. The reversal of 137164512 is 215461731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 137164512.

It is a congruent number.

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, 35508 + ... + 39180.

It is an arithmetic number, because the mean of its divisors is an integer number (7522515).

Almost surely, 2^137164512 is an apocalyptic number.

137164512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137164512 is an abundant number, since it is smaller than the sum of its proper divisors (223916208).

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

137164512 is a wasteful number, since it uses less digits than its factorization.

137164512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4067 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 137164512 is about 11711.7254066171. The cubic root of 137164512 is about 515.7199369581.

The spelling of 137164512 in words is "one hundred thirty-seven million, one hundred sixty-four thousand, five hundred twelve".