137415140 has 12 divisors (see below), whose sum is σ = 288571836. Its totient is φ = 54966048.

The previous prime is 137415017. The next prime is 137415181. The reversal of 137415140 is 41514731.

It can be written as a sum of positive squares in 2 ways, for example, as 68591524 + 68823616 = 8282^2 + 8296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3435359 + ... + 3435398.

It is an arithmetic number, because the mean of its divisors is an integer number (24047653).

Almost surely, 2^137415140 is an apocalyptic number.

137415140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137415140 is an abundant number, since it is smaller than the sum of its proper divisors (151156696).

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

137415140 is a wasteful number, since it uses less digits than its factorization.

137415140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870766 (or 6870764 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 137415140 is about 11722.4203985354. The cubic root of 137415140 is about 516.0338549187.

Adding to 137415140 its reverse (41514731), we get a palindrome (178929871).

It can be divided in two parts, 13741 and 5140, that added together give a palindrome (18881).

The spelling of 137415140 in words is "one hundred thirty-seven million, four hundred fifteen thousand, one hundred forty".