137677747 has 16 divisors (see below), whose sum is σ = 152893440. Its totient is φ = 123311232.

The previous prime is 137677741. The next prime is 137677759. The reversal of 137677747 is 747776731.

137677747 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 137677747 - 2¹⁵ = 137644979 is a prime.

It is a super-3 number, since 3×137677747³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137677747.

It is not an unprimeable number, because it can be changed into a prime (137677741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86404 + ... + 87982.

It is an arithmetic number, because the mean of its divisors is an integer number (9555840).

Almost surely, 2^137677747 is an apocalyptic number.

137677747 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

137677747 is a deficient number, since it is larger than the sum of its proper divisors (15215693).

137677747 is a wasteful number, since it uses less digits than its factorization.

137677747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842.

The product of its digits is 1210104, while the sum is 49.

The square root of 137677747 is about 11733.6161092819. The cubic root of 137677747 is about 516.3623676512.

The spelling of 137677747 in words is "one hundred thirty-seven million, six hundred seventy-seven thousand, seven hundred forty-seven".