137976413 has 2 divisors, whose sum is σ = 137976414. Its totient is φ = 137976412.

The previous prime is 137976409. The next prime is 137976427. The reversal of 137976413 is 314679731.

137976413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125395204 + 12581209 = 11198^2 + 3547^2 .

It is a cyclic number.

It is not a de Polignac number, because 137976413 - 2² = 137976409 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137976463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68988206 + 68988207.

It is an arithmetic number, because the mean of its divisors is an integer number (68988207).

Almost surely, 2^137976413 is an apocalyptic number.

It is an amenable number.

137976413 is a deficient number, since it is larger than the sum of its proper divisors (1).

137976413 is an equidigital number, since it uses as much as digits as its factorization.

137976413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 95256, while the sum is 41.

The square root of 137976413 is about 11746.3361521795. The cubic root of 137976413 is about 516.7354816885.

The spelling of 137976413 in words is "one hundred thirty-seven million, nine hundred seventy-six thousand, four hundred thirteen".