137870640 has 320 divisors, whose sum is σ = 514252800. Its totient is φ = 33868800.

The previous prime is 137870587. The next prime is 137870651. The reversal of 137870640 is 46078731.

137870640 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 7 + 0 + 640 = 666.

137870640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137870595 and 137870604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1941805 + ... + 1941875.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^137870640 is an apocalyptic number.

137870640 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 137870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

137870640 is an abundant number, since it is smaller than the sum of its proper divisors (376382160).

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

137870640 is a wasteful number, since it uses less digits than its factorization.

137870640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 137870640 is about 11741.8329063226. The cubic root of 137870640 is about 516.6034044407.

The spelling of 137870640 in words is "one hundred thirty-seven million, eight hundred seventy thousand, six hundred forty".