137685340 has 48 divisors (see below), whose sum is σ = 312355008. Its totient is φ = 50678784.

The previous prime is 137685319. The next prime is 137685341. The reversal of 137685340 is 43586731.

It is a self number, because there is not a number n which added to its sum of digits gives 137685340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137685341) 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 15 ways as a sum of consecutive naturals, for example, 111969 + ... + 113191.

It is an arithmetic number, because the mean of its divisors is an integer number (6507396).

Almost surely, 2^137685340 is an apocalyptic number.

137685340 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 137685340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156177504).

137685340 is an abundant number, since it is smaller than the sum of its proper divisors (174669668).

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

137685340 is a wasteful number, since it uses less digits than its factorization.

137685340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 137685340 is about 11733.9396623640. The cubic root of 137685340 is about 516.3718600286.

The spelling of 137685340 in words is "one hundred thirty-seven million, six hundred eighty-five thousand, three hundred forty".