137077 has 2 divisors, whose sum is σ = 137078. Its totient is φ = 137076.

The previous prime is 137029. The next prime is 137087. The reversal of 137077 is 770731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75076 + 62001 = 274^2 + 249^2 .

It is a cyclic number.

It is not a de Polignac number, because 137077 - 2⁷ = 136949 is a prime.

137077 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68538 + 68539.

It is an arithmetic number, because the mean of its divisors is an integer number (68539).

2¹³⁷⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

137077 is a deficient number, since it is larger than the sum of its proper divisors (1).

137077 is an equidigital number, since it uses as much as digits as its factorization.

137077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1029, while the sum is 25.

The square root of 137077 is about 370.2391119263. The cubic root of 137077 is about 51.5610235880.

The spelling of 137077 in words is "one hundred thirty-seven thousand, seventy-seven".