137643507 has 12 divisors (see below), whose sum is σ = 200788224. Its totient is φ = 90853200.

The previous prime is 137643487. The next prime is 137643521. The reversal of 137643507 is 705346731.

137643507 is a `hidden beast` number, since 1 + 3 + 7 + 643 + 5 + 0 + 7 = 666.

It is not a de Polignac number, because 137643507 - 2¹⁴ = 137627123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137643587) 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 11 ways as a sum of consecutive naturals, for example, 74803 + ... + 76620.

It is an arithmetic number, because the mean of its divisors is an integer number (16732352).

Almost surely, 2^137643507 is an apocalyptic number.

137643507 is a deficient number, since it is larger than the sum of its proper divisors (63144717).

137643507 is a wasteful number, since it uses less digits than its factorization.

137643507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151530 (or 151527 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 137643507 is about 11732.1569628095. The cubic root of 137643507 is about 516.3195582316.

It can be divided in two parts, 13764 and 3507, that added together give a palindrome (17271).

The spelling of 137643507 in words is "one hundred thirty-seven million, six hundred forty-three thousand, five hundred seven".