137825977 has 2 divisors, whose sum is σ = 137825978. Its totient is φ = 137825976.

The previous prime is 137825957. The next prime is 137826037. The reversal of 137825977 is 779528731.

It is a happy number.

137825977 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., 109746576 + 28079401 = 10476^2 + 5299^2 .

It is a cyclic number.

It is not a de Polignac number, because 137825977 - 2²⁷ = 3608249 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137825977.

It is not a weakly prime, because it can be changed into another prime (137825927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68912988 + 68912989.

It is an arithmetic number, because the mean of its divisors is an integer number (68912989).

Almost surely, 2^137825977 is an apocalyptic number.

It is an amenable number.

137825977 is a deficient number, since it is larger than the sum of its proper divisors (1).

137825977 is an equidigital number, since it uses as much as digits as its factorization.

137825977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 740880, while the sum is 49.

The square root of 137825977 is about 11739.9308771389. The cubic root of 137825977 is about 516.5476141003.

The spelling of 137825977 in words is "one hundred thirty-seven million, eight hundred twenty-five thousand, nine hundred seventy-seven".