137977672 has 16 divisors (see below), whose sum is σ = 295666560. Its totient is φ = 59133264.

The previous prime is 137977663. The next prime is 137977673. The reversal of 137977672 is 276779731.

It is not an unprimeable number, because it can be changed into a prime (137977673) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1231888 + ... + 1231999.

It is an arithmetic number, because the mean of its divisors is an integer number (18479160).

Almost surely, 2^137977672 is an apocalyptic number.

It is an amenable number.

137977672 is an abundant number, since it is smaller than the sum of its proper divisors (157688888).

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

137977672 is a wasteful number, since it uses less digits than its factorization.

137977672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463900 (or 2463896 counting only the distinct ones).

The product of its digits is 777924, while the sum is 49.

The square root of 137977672 is about 11746.3897432360. The cubic root of 137977672 is about 516.7370533774.

The spelling of 137977672 in words is "one hundred thirty-seven million, nine hundred seventy-seven thousand, six hundred seventy-two".