137128760 has 32 divisors (see below), whose sum is σ = 321956640. Its totient is φ = 52466304.

The previous prime is 137128727. The next prime is 137128769. The reversal of 137128760 is 67821731.

It is a self number, because there is not a number n which added to its sum of digits gives 137128760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137128769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73607 + ... + 75446.

It is an arithmetic number, because the mean of its divisors is an integer number (10061145).

Almost surely, 2^137128760 is an apocalyptic number.

137128760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137128760 is an abundant number, since it is smaller than the sum of its proper divisors (184827880).

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

137128760 is a wasteful number, since it uses less digits than its factorization.

137128760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149087 (or 149083 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 137128760 is about 11710.1989735444. The cubic root of 137128760 is about 515.6751255096.

The spelling of 137128760 in words is "one hundred thirty-seven million, one hundred twenty-eight thousand, seven hundred sixty".