137277720 has 128 divisors (see below), whose sum is σ = 484574400. Its totient is φ = 34449408.

The previous prime is 137277691. The next prime is 137277739. The reversal of 137277720 is 27772731.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 14622 + ... + 22098.

Almost surely, 2^137277720 is an apocalyptic number.

137277720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137277720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242287200).

137277720 is an abundant number, since it is smaller than the sum of its proper divisors (347296680).

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

137277720 is a wasteful number, since it uses less digits than its factorization.

137277720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 137277720 is about 11716.5575149017. The cubic root of 137277720 is about 515.8617801771.

The spelling of 137277720 in words is "one hundred thirty-seven million, two hundred seventy-seven thousand, seven hundred twenty".