137980480 has 56 divisors (see below), whose sum is σ = 358444800. Its totient is φ = 50173440.

The previous prime is 137980433. The next prime is 137980481. The reversal of 137980480 is 84089731.

It is a super-2 number, since 2×137980480² = 38077225722060800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (137980481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16080 + ... + 23119.

It is an arithmetic number, because the mean of its divisors is an integer number (6400800).

Almost surely, 2^137980480 is an apocalyptic number.

137980480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137980480 is an abundant number, since it is smaller than the sum of its proper divisors (220464320).

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

137980480 is a wasteful number, since it uses less digits than its factorization.

137980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39227 (or 39217 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 137980480 is about 11746.5092687147. The cubic root of 137980480 is about 516.7405587460.

The spelling of 137980480 in words is "one hundred thirty-seven million, nine hundred eighty thousand, four hundred eighty".