137768140 has 12 divisors (see below), whose sum is σ = 289313136. Its totient is φ = 55107248.

The previous prime is 137768117. The next prime is 137768149. The reversal of 137768140 is 41867731.

It is a self number, because there is not a number n which added to its sum of digits gives 137768140.

It is not an unprimeable number, because it can be changed into a prime (137768149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3444184 + ... + 3444223.

It is an arithmetic number, because the mean of its divisors is an integer number (24109428).

Almost surely, 2^137768140 is an apocalyptic number.

137768140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137768140 is an abundant number, since it is smaller than the sum of its proper divisors (151544996).

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

137768140 is a wasteful number, since it uses less digits than its factorization.

137768140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888416 (or 6888414 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 137768140 is about 11737.4673588471. The cubic root of 137768140 is about 516.4753496768.

The spelling of 137768140 in words is "one hundred thirty-seven million, seven hundred sixty-eight thousand, one hundred forty".