137972977 has 4 divisors (see below), whose sum is σ = 137997556. Its totient is φ = 137948400.

The previous prime is 137972959. The next prime is 137973029. The reversal of 137972977 is 779279731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 779279731 = 139 ⋅5606329.

It can be written as a sum of positive squares in 2 ways, for example, as 99520576 + 38452401 = 9976^2 + 6201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137972977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137970977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 727 + ... + 16627.

It is an arithmetic number, because the mean of its divisors is an integer number (34499389).

Almost surely, 2^137972977 is an apocalyptic number.

It is an amenable number.

137972977 is a deficient number, since it is larger than the sum of its proper divisors (24579).

137972977 is an equidigital number, since it uses as much as digits as its factorization.

137972977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24578.

The product of its digits is 1166886, while the sum is 52.

The square root of 137972977 is about 11746.1898928972. The cubic root of 137972977 is about 516.7311922649.

The spelling of 137972977 in words is "one hundred thirty-seven million, nine hundred seventy-two thousand, nine hundred seventy-seven".