137417980 has 48 divisors (see below), whose sum is σ = 330494976. Its totient is φ = 47016000.

The previous prime is 137417957. The next prime is 137418011. The reversal of 137417980 is 89714731.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104487 + ... + 105793.

It is an arithmetic number, because the mean of its divisors is an integer number (6885312).

Almost surely, 2^137417980 is an apocalyptic number.

137417980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137417980 is an abundant number, since it is smaller than the sum of its proper divisors (193076996).

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

137417980 is a wasteful number, since it uses less digits than its factorization.

137417980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 137417980 is about 11722.5415333024. The cubic root of 137417980 is about 516.0374099032.

The spelling of 137417980 in words is "one hundred thirty-seven million, four hundred seventeen thousand, nine hundred eighty".