137189760 has 64 divisors (see below), whose sum is σ = 437298480. Its totient is φ = 36583424.

The previous prime is 137189753. The next prime is 137189783. The reversal of 137189760 is 67981731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33807 + ... + 37646.

Almost surely, 2^137189760 is an apocalyptic number.

137189760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137189760 is an abundant number, since it is smaller than the sum of its proper divisors (300108720).

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

137189760 is an equidigital number, since it uses as much as digits as its factorization.

137189760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71475 (or 71463 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 137189760 is about 11712.8032511436. The cubic root of 137189760 is about 515.7515780338.

The spelling of 137189760 in words is "one hundred thirty-seven million, one hundred eighty-nine thousand, seven hundred sixty".