137768960 has 156 divisors (see below), whose sum is σ = 390415824. Its totient is φ = 45711360.

The previous prime is 137768941. The next prime is 137768971. The reversal of 137768960 is 69867731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4444145 + ... + 4444175.

Almost surely, 2^137768960 is an apocalyptic number.

137768960 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 137768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195207912).

137768960 is an abundant number, since it is smaller than the sum of its proper divisors (252646864).

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

137768960 is an frugal number, since it uses more digits than its factorization.

137768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 137768960 is about 11737.5022896696. The cubic root of 137768960 is about 516.4763743669.

The spelling of 137768960 in words is "one hundred thirty-seven million, seven hundred sixty-eight thousand, nine hundred sixty".