137974080 has 112 divisors (see below), whose sum is σ = 442715904. Its totient is φ = 36403200.

The previous prime is 137974069. The next prime is 137974099. The reversal of 137974080 is 80479731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96249 + ... + 97671.

Almost surely, 2^137974080 is an apocalyptic number.

137974080 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 137974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221357952).

137974080 is an abundant number, since it is smaller than the sum of its proper divisors (304741824).

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

137974080 is a wasteful number, since it uses less digits than its factorization.

137974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 137974080 is about 11746.2368441982. The cubic root of 137974080 is about 516.7325692326.

The spelling of 137974080 in words is "one hundred thirty-seven million, nine hundred seventy-four thousand, eighty".