137908980 has 240 divisors, whose sum is σ = 482993280. Its totient is φ = 32659200.

The previous prime is 137908963. The next prime is 137908993. The reversal of 137908980 is 89809731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1265166 + ... + 1265274.

It is an arithmetic number, because the mean of its divisors is an integer number (2012472).

Almost surely, 2^137908980 is an apocalyptic number.

137908980 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 137908980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496640).

137908980 is an abundant number, since it is smaller than the sum of its proper divisors (345084300).

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

137908980 is a wasteful number, since it uses less digits than its factorization.

137908980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 137908980 is about 11743.4654169883. The cubic root of 137908980 is about 516.6512868586.

The spelling of 137908980 in words is "one hundred thirty-seven million, nine hundred eight thousand, nine hundred eighty".