137361940 has 24 divisors (see below), whose sum is σ = 288809640. Its totient is φ = 54878208.

The previous prime is 137361937. The next prime is 137361941. The reversal of 137361940 is 49163731.

137361940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4743684 + 132618256 = 2178^2 + 11516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137361896 and 137361905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137361941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14884 + ... + 22276.

It is an arithmetic number, because the mean of its divisors is an integer number (12033735).

Almost surely, 2^137361940 is an apocalyptic number.

137361940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137361940 is an abundant number, since it is smaller than the sum of its proper divisors (151447700).

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

137361940 is a wasteful number, since it uses less digits than its factorization.

137361940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8331 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 137361940 is about 11720.1510229178. The cubic root of 137361940 is about 515.9672524938.

The spelling of 137361940 in words is "one hundred thirty-seven million, three hundred sixty-one thousand, nine hundred forty".