137880040 has 32 divisors (see below), whose sum is σ = 310641480. Its totient is φ = 55078912.

The previous prime is 137880031. The next prime is 137880079. The reversal of 137880040 is 40088731.

It is a happy number.

137880040 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 58277956 + 79602084 = 7634^2 + 8922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137879984 and 137880011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36312 + ... + 39928.

Almost surely, 2^137880040 is an apocalyptic number.

137880040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137880040 is an abundant number, since it is smaller than the sum of its proper divisors (172761440).

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

137880040 is a wasteful number, since it uses less digits than its factorization.

137880040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 137880040 is about 11742.2331777222. The cubic root of 137880040 is about 516.6151448220.

It can be divided in two parts, 1378 and 80040, that added together give a palindrome (81418).

The spelling of 137880040 in words is "one hundred thirty-seven million, eight hundred eighty thousand, forty".