137877680 has 40 divisors (see below), whose sum is σ = 337441200. Its totient is φ = 52247808.

The previous prime is 137877679. The next prime is 137877689. The reversal of 137877680 is 86778731.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (137877689) 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 7 ways as a sum of consecutive naturals, for example, 43835 + ... + 46874.

It is an arithmetic number, because the mean of its divisors is an integer number (8436030).

Almost surely, 2^137877680 is an apocalyptic number.

137877680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137877680 is an abundant number, since it is smaller than the sum of its proper divisors (199563520).

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

137877680 is a wasteful number, since it uses less digits than its factorization.

137877680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90741 (or 90735 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 47.

The square root of 137877680 is about 11742.1326853345. The cubic root of 137877680 is about 516.6121972870.

The spelling of 137877680 in words is "one hundred thirty-seven million, eight hundred seventy-seven thousand, six hundred eighty".