137494920 has 128 divisors (see below), whose sum is σ = 444579840. Its totient is φ = 33918720.

The previous prime is 137494919. The next prime is 137494927. The reversal of 137494920 is 29494731.

It is not an unprimeable number, because it can be changed into a prime (137494927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84757 + ... + 86363.

It is an arithmetic number, because the mean of its divisors is an integer number (3473280).

Almost surely, 2^137494920 is an apocalyptic number.

137494920 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 137494920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222289920).

137494920 is an abundant number, since it is smaller than the sum of its proper divisors (307084920).

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

137494920 is a wasteful number, since it uses less digits than its factorization.

137494920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 137494920 is about 11725.8227856300. The cubic root of 137494920 is about 516.1337013069.

The spelling of 137494920 in words is "one hundred thirty-seven million, four hundred ninety-four thousand, nine hundred twenty".