137412081 has 12 divisors (see below), whose sum is σ = 199021108. Its totient is φ = 91360224.

The previous prime is 137412029. The next prime is 137412103. The reversal of 137412081 is 180214731.

137412081 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 2 ways, for example, as 56250000 + 81162081 = 7500^2 + 9009^2 .

It is not a de Polignac number, because 137412081 - 2⁶ = 137412017 is a prime.

It is a super-2 number, since 2×137412081² = 37764160009501122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137412001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17110 + ... + 23823.

Almost surely, 2^137412081 is an apocalyptic number.

It is an amenable number.

137412081 is a deficient number, since it is larger than the sum of its proper divisors (61609027).

137412081 is a wasteful number, since it uses less digits than its factorization.

137412081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41312 (or 41309 counting only the distinct ones).

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

The square root of 137412081 is about 11722.2899213422. The cubic root of 137412081 is about 516.0300257451.

The spelling of 137412081 in words is "one hundred thirty-seven million, four hundred twelve thousand, eighty-one".