137585340 has 144 divisors (see below), whose sum is σ = 434056896. Its totient is φ = 35251200.

The previous prime is 137585303. The next prime is 137585341. The reversal of 137585340 is 43585731.

137585340 is a `hidden beast` number, since 1 + 37 + 585 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137585295 and 137585304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137585341) 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 47 ways as a sum of consecutive naturals, for example, 760050 + ... + 760230.

It is an arithmetic number, because the mean of its divisors is an integer number (3014284).

Almost surely, 2^137585340 is an apocalyptic number.

137585340 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 137585340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217028448).

137585340 is an abundant number, since it is smaller than the sum of its proper divisors (296471556).

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

137585340 is a wasteful number, since it uses less digits than its factorization.

137585340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 137585340 is about 11729.6777449340. The cubic root of 137585340 is about 516.2468172020.

The spelling of 137585340 in words is "one hundred thirty-seven million, five hundred eighty-five thousand, three hundred forty".