137884640 has 48 divisors (see below), whose sum is σ = 333713520. Its totient is φ = 53806080.

The previous prime is 137884631. The next prime is 137884661. The reversal of 137884640 is 46488731.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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, 3950 + ... + 17069.

It is an arithmetic number, because the mean of its divisors is an integer number (6952365).

Almost surely, 2^137884640 is an apocalyptic number.

137884640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137884640 is an abundant number, since it is smaller than the sum of its proper divisors (195828880).

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

137884640 is a wasteful number, since it uses less digits than its factorization.

137884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21075 (or 21067 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 137884640 is about 11742.4290502434. The cubic root of 137884640 is about 516.6208899205.

The spelling of 137884640 in words is "one hundred thirty-seven million, eight hundred eighty-four thousand, six hundred forty".