137081412 has 36 divisors (see below), whose sum is σ = 373167340. Its totient is φ = 42178752.

The previous prime is 137081407. The next prime is 137081419. The reversal of 137081412 is 214180731.

It can be written as a sum of positive squares in 2 ways, for example, as 15729156 + 121352256 = 3966^2 + 11016^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (137081419) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 145987 + ... + 146922.

Almost surely, 2^137081412 is an apocalyptic number.

137081412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137081412 is an abundant number, since it is smaller than the sum of its proper divisors (236085928).

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

137081412 is a wasteful number, since it uses less digits than its factorization.

137081412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292932 (or 292927 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 137081412 is about 11708.1771424932. The cubic root of 137081412 is about 515.6157676804.

The spelling of 137081412 in words is "one hundred thirty-seven million, eighty-one thousand, four hundred twelve".