137621377 has 2 divisors, whose sum is σ = 137621378. Its totient is φ = 137621376.

The previous prime is 137621353. The next prime is 137621401. The reversal of 137621377 is 773126731.

137621377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (137621353) and next prime (137621401).

It can be written as a sum of positive squares in only one way, i.e., 83466496 + 54154881 = 9136^2 + 7359^2 .

It is a cyclic number.

It is not a de Polignac number, because 137621377 - 2¹⁵ = 137588609 is a prime.

It is a super-2 number, since 2×137621377² = 37879286814752258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137621347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68810688 + 68810689.

It is an arithmetic number, because the mean of its divisors is an integer number (68810689).

Almost surely, 2^137621377 is an apocalyptic number.

It is an amenable number.

137621377 is a deficient number, since it is larger than the sum of its proper divisors (1).

137621377 is an equidigital number, since it uses as much as digits as its factorization.

137621377 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37044, while the sum is 37.

The square root of 137621377 is about 11731.2137905675. The cubic root of 137621377 is about 516.2918858663.

The spelling of 137621377 in words is "one hundred thirty-seven million, six hundred twenty-one thousand, three hundred seventy-seven".