137509840 has 80 divisors (see below), whose sum is σ = 362476800. Its totient is φ = 48093696.

The previous prime is 137509837. The next prime is 137509891. The reversal of 137509840 is 48905731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 137509840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16281 + ... + 23239.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2^137509840 is an apocalyptic number.

137509840 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 137509840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181238400).

137509840 is an abundant number, since it is smaller than the sum of its proper divisors (224966960).

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

137509840 is a wasteful number, since it uses less digits than its factorization.

137509840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7004 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 137509840 is about 11726.4589710620. The cubic root of 137509840 is about 516.1523697210.

The spelling of 137509840 in words is "one hundred thirty-seven million, five hundred nine thousand, eight hundred forty".