137000960 has 96 divisors (see below), whose sum is σ = 348500880. Its totient is φ = 51511296.

The previous prime is 137000951. The next prime is 137000999. The reversal of 137000960 is 69000731.

It is a happy number.

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, 173687 + ... + 174473.

Almost surely, 2^137000960 is an apocalyptic number.

137000960 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 137000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174250440).

137000960 is an abundant number, since it is smaller than the sum of its proper divisors (211499920).

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

137000960 is an equidigital number, since it uses as much as digits as its factorization.

137000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 137000960 is about 11704.7409198154. The cubic root of 137000960 is about 515.5148776643.

The spelling of 137000960 in words is "one hundred thirty-seven million, nine hundred sixty", and thus it is an aban number.