137777680 has 40 divisors (see below), whose sum is σ = 327157632. Its totient is φ = 53937024.

The previous prime is 137777611. The next prime is 137777681. The reversal of 137777680 is 86777731.

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137777680.

It is not an unprimeable number, because it can be changed into a prime (137777681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14562 + ... + 22081.

Almost surely, 2^137777680 is an apocalyptic number.

137777680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137777680 is an abundant number, since it is smaller than the sum of its proper divisors (189379952).

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

137777680 is a wasteful number, since it uses less digits than its factorization.

137777680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36703 (or 36697 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 46.

The square root of 137777680 is about 11737.8737427185. The cubic root of 137777680 is about 516.4872708199.

The spelling of 137777680 in words is "one hundred thirty-seven million, seven hundred seventy-seven thousand, six hundred eighty".