137601377 has 2 divisors, whose sum is σ = 137601378. Its totient is φ = 137601376.

The previous prime is 137601367. The next prime is 137601397. The reversal of 137601377 is 773106731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116661601 + 20939776 = 10801^2 + 4576^2 .

It is a cyclic number.

It is not a de Polignac number, because 137601377 - 2⁴ = 137601361 is a prime.

It is a super-2 number, since 2×137601377² = 37868277904592258, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137601367) 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 as a sum of consecutive naturals, namely, 68800688 + 68800689.

It is an arithmetic number, because the mean of its divisors is an integer number (68800689).

Almost surely, 2^137601377 is an apocalyptic number.

It is an amenable number.

137601377 is a deficient number, since it is larger than the sum of its proper divisors (1).

137601377 is an equidigital number, since it uses as much as digits as its factorization.

137601377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18522, while the sum is 35.

The square root of 137601377 is about 11730.3613328831. The cubic root of 137601377 is about 516.2668743984.

The spelling of 137601377 in words is "one hundred thirty-seven million, six hundred one thousand, three hundred seventy-seven".