137506977 has 20 divisors (see below), whose sum is σ = 206300160. Its totient is φ = 91274904.

The previous prime is 137506973. The next prime is 137507003. The reversal of 137506977 is 779605731.

137506977 is a `hidden beast` number, since 137 + 506 + 9 + 7 + 7 = 666.

It is not a de Polignac number, because 137506977 - 2² = 137506973 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137506973) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15808 + ... + 22910.

It is an arithmetic number, because the mean of its divisors is an integer number (10315008).

Almost surely, 2^137506977 is an apocalyptic number.

It is an amenable number.

137506977 is a deficient number, since it is larger than the sum of its proper divisors (68793183).

137506977 is an equidigital number, since it uses as much as digits as its factorization.

137506977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7354 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 137506977 is about 11726.3368960643. The cubic root of 137506977 is about 516.1487875422.

The spelling of 137506977 in words is "one hundred thirty-seven million, five hundred six thousand, nine hundred seventy-seven".