137034720 has 96 divisors (see below), whose sum is σ = 479636640. Its totient is φ = 36541440.

The previous prime is 137034701. The next prime is 137034721. The reversal of 137034720 is 27430731.

137034720 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137034721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11541 + ... + 20180.

It is an arithmetic number, because the mean of its divisors is an integer number (4996215).

Almost surely, 2^137034720 is an apocalyptic number.

137034720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137034720 is an abundant number, since it is smaller than the sum of its proper divisors (342601920).

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

137034720 is a wasteful number, since it uses less digits than its factorization.

137034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31745 (or 31731 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137034720 is about 11706.1829816555. The cubic root of 137034720 is about 515.5572188589.

The spelling of 137034720 in words is "one hundred thirty-seven million, thirty-four thousand, seven hundred twenty".