137274720 has 96 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 33277440.

The previous prime is 137274707. The next prime is 137274721. The reversal of 137274720 is 27472731.

137274720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137274721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7720 + ... + 18279.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^137274720 is an apocalyptic number.

137274720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137274720 is an abundant number, since it is smaller than the sum of its proper divisors (334469280).

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

137274720 is a wasteful number, since it uses less digits than its factorization.

137274720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26028 (or 26020 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 137274720 is about 11716.4294902500. The cubic root of 137274720 is about 515.8580223529.

The spelling of 137274720 in words is "one hundred thirty-seven million, two hundred seventy-four thousand, seven hundred twenty".