137313840 has 160 divisors (see below), whose sum is σ = 446846400. Its totient is φ = 34836480.

The previous prime is 137313821. The next prime is 137313851. The reversal of 137313840 is 48313731.

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 = 137313798 and 137313807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758550 + ... + 758730.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2^137313840 is an apocalyptic number.

137313840 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 137313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

137313840 is an abundant number, since it is smaller than the sum of its proper divisors (309532560).

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

137313840 is a wasteful number, since it uses less digits than its factorization.

137313840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 137313840 is about 11718.0988219079. The cubic root of 137313840 is about 515.9070200833.

It can be divided in two parts, 13731 and 3840, that added together give a palindrome (17571).

The spelling of 137313840 in words is "one hundred thirty-seven million, three hundred thirteen thousand, eight hundred forty".