137592340 has 24 divisors (see below), whose sum is σ = 289777320. Its totient is φ = 54878208.

The previous prime is 137592331. The next prime is 137592341. The reversal of 137592340 is 43295731.

137592340 is digitally balanced in base 3, 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 374544 + 137217796 = 612^2 + 11714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137592296 and 137592305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137592341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2685 + ... + 16804.

It is an arithmetic number, because the mean of its divisors is an integer number (12074055).

Almost surely, 2^137592340 is an apocalyptic number.

137592340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137592340 is an abundant number, since it is smaller than the sum of its proper divisors (152184980).

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

137592340 is a wasteful number, since it uses less digits than its factorization.

137592340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19851 (or 19849 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 137592340 is about 11729.9761295580. The cubic root of 137592340 is about 516.2555721716.

The spelling of 137592340 in words is "one hundred thirty-seven million, five hundred ninety-two thousand, three hundred forty".