137372677 has 8 divisors (see below), whose sum is σ = 148034264. Its totient is φ = 126724608.

The previous prime is 137372663. The next prime is 137372693. The reversal of 137372677 is 776273731.

It can be written as a sum of positive squares in 4 ways, for example, as 5788836 + 131583841 = 2406^2 + 11471^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137372677 is a prime.

It is a super-2 number, since 2×137372677² = 37742504772292658, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137372617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30013 + ... + 34285.

It is an arithmetic number, because the mean of its divisors is an integer number (18504283).

Almost surely, 2^137372677 is an apocalyptic number.

It is an amenable number.

137372677 is a deficient number, since it is larger than the sum of its proper divisors (10661587).

137372677 is a wasteful number, since it uses less digits than its factorization.

137372677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759.

The product of its digits is 259308, while the sum is 43.

The square root of 137372677 is about 11720.6090712044. The cubic root of 137372677 is about 515.9806958005.

The spelling of 137372677 in words is "one hundred thirty-seven million, three hundred seventy-two thousand, six hundred seventy-seven".