137761740 has 72 divisors (see below), whose sum is σ = 422957808. Its totient is φ = 36289920.

The previous prime is 137761739. The next prime is 137761759. The reversal of 137761740 is 47167731.

137761740 is a `hidden beast` number, since 1 + 37 + 7 + 617 + 4 + 0 = 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 = 137761695 and 137761704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10330 + ... + 19550.

It is an arithmetic number, because the mean of its divisors is an integer number (5874414).

Almost surely, 2^137761740 is an apocalyptic number.

137761740 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 137761740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211478904).

137761740 is an abundant number, since it is smaller than the sum of its proper divisors (285196068).

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

137761740 is a wasteful number, since it uses less digits than its factorization.

137761740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9319 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 137761740 is about 11737.1947244646. The cubic root of 137761740 is about 516.4673519559.

The spelling of 137761740 in words is "one hundred thirty-seven million, seven hundred sixty-one thousand, seven hundred forty".