137098920 has 128 divisors (see below), whose sum is σ = 472780800. Its totient is φ = 31155456.

The previous prime is 137098919. The next prime is 137098939. The reversal of 137098920 is 29890731.

137098920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×137098920³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190321 + ... + 191039.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600).

Almost surely, 2^137098920 is an apocalyptic number.

137098920 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 137098920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236390400).

137098920 is an abundant number, since it is smaller than the sum of its proper divisors (335681880).

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

137098920 is a wasteful number, since it uses less digits than its factorization.

137098920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 137098920 is about 11708.9248011933. The cubic root of 137098920 is about 515.6377181803.

The spelling of 137098920 in words is "one hundred thirty-seven million, ninety-eight thousand, nine hundred twenty".