137725767 has 6 divisors (see below), whose sum is σ = 198937232. Its totient is φ = 91817172.

The previous prime is 137725759. The next prime is 137725769. The reversal of 137725767 is 767527731.

137725767 is a `hidden beast` number, since 1 + 3 + 7 + 72 + 576 + 7 = 666.

It is not a de Polignac number, because 137725767 - 2³ = 137725759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137725769) 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 5 ways as a sum of consecutive naturals, for example, 7651423 + ... + 7651440.

Almost surely, 2^137725767 is an apocalyptic number.

137725767 is a deficient number, since it is larger than the sum of its proper divisors (61211465).

137725767 is a wasteful number, since it uses less digits than its factorization.

137725767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15302869 (or 15302866 counting only the distinct ones).

The product of its digits is 432180, while the sum is 45.

The square root of 137725767 is about 11735.6621883897. The cubic root of 137725767 is about 516.4223939063.

It can be divided in two parts, 137 and 725767, that added together give a square (725904 = 852²).

The spelling of 137725767 in words is "one hundred thirty-seven million, seven hundred twenty-five thousand, seven hundred sixty-seven".