137981312 has 32 divisors (see below), whose sum is σ = 314155920. Its totient is φ = 59134464.

The previous prime is 137981267. The next prime is 137981323. The reversal of 137981312 is 213189731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×137981312² = 38077684922482688, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 76103 + ... + 77894.

Almost surely, 2^137981312 is an apocalyptic number.

It is an amenable number.

137981312 is an abundant number, since it is smaller than the sum of its proper divisors (176174608).

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

137981312 is an equidigital number, since it uses as much as digits as its factorization.

137981312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154018 (or 154006 counting only the distinct ones).

The product of its digits is 9072, while the sum is 35.

The square root of 137981312 is about 11746.5446834378. The cubic root of 137981312 is about 516.7415973647.

The spelling of 137981312 in words is "one hundred thirty-seven million, nine hundred eighty-one thousand, three hundred twelve".