137378760 has 32 divisors (see below), whose sum is σ = 412136640. Its totient is φ = 36634304.

The previous prime is 137378753. The next prime is 137378777. The reversal of 137378760 is 67873731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572292 + ... + 572531.

It is an arithmetic number, because the mean of its divisors is an integer number (12879270).

Almost surely, 2^137378760 is an apocalyptic number.

137378760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137378760 is an abundant number, since it is smaller than the sum of its proper divisors (274757880).

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

137378760 is a wasteful number, since it uses less digits than its factorization.

137378760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144837 (or 1144833 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 137378760 is about 11720.8685684978. The cubic root of 137378760 is about 515.9883117357.

The spelling of 137378760 in words is "one hundred thirty-seven million, three hundred seventy-eight thousand, seven hundred sixty".