137348040 has 64 divisors (see below), whose sum is σ = 417715200. Its totient is φ = 36122112.

The previous prime is 137348039. The next prime is 137348059. The reversal of 137348040 is 40843731.

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 = 137347989 and 137348007.

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 15 ways as a sum of consecutive naturals, for example, 921 + ... + 16599.

It is an arithmetic number, because the mean of its divisors is an integer number (6526800).

Almost surely, 2^137348040 is an apocalyptic number.

137348040 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 137348040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208857600).

137348040 is an abundant number, since it is smaller than the sum of its proper divisors (280367160).

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

137348040 is a wasteful number, since it uses less digits than its factorization.

137348040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15766 (or 15762 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 137348040 is about 11719.5580121436. The cubic root of 137348040 is about 515.9498478989.

The spelling of 137348040 in words is "one hundred thirty-seven million, three hundred forty-eight thousand, forty".