137140760 has 64 divisors (see below), whose sum is σ = 320474880. Its totient is φ = 52778880.

The previous prime is 137140741. The next prime is 137140781. The reversal of 137140760 is 67041731.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121559 + ... + 122681.

It is an arithmetic number, because the mean of its divisors is an integer number (5007420).

Almost surely, 2^137140760 is an apocalyptic number.

137140760 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 137140760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160237440).

137140760 is an abundant number, since it is smaller than the sum of its proper divisors (183334120).

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

137140760 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (137140759) it forms an eRAP, since the sums of their prime factors are consecutive (1247 and 1248).

137140760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 137140760 is about 11710.7113362084. The cubic root of 137140760 is about 515.6901671415.

The spelling of 137140760 in words is "one hundred thirty-seven million, one hundred forty thousand, seven hundred sixty".