137108640 has 48 divisors (see below), whose sum is σ = 431893728. Its totient is φ = 36562176.

The previous prime is 137108603. The next prime is 137108659. The reversal of 137108640 is 46801731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137108598 and 137108607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142342 + ... + 143301.

It is an arithmetic number, because the mean of its divisors is an integer number (8997786).

Almost surely, 2^137108640 is an apocalyptic number.

137108640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137108640 is an abundant number, since it is smaller than the sum of its proper divisors (294785088).

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

137108640 is a wasteful number, since it uses less digits than its factorization.

137108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285661 (or 285653 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 137108640 is about 11709.3398618368. The cubic root of 137108640 is about 515.6499037375.

The spelling of 137108640 in words is "one hundred thirty-seven million, one hundred eight thousand, six hundred forty".