137933047 has 18 divisors (see below), whose sum is σ = 165647832. Its totient is φ = 112502016.

The previous prime is 137933011. The next prime is 137933051. The reversal of 137933047 is 740339731.

137933047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137933047 - 2¹¹ = 137930999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137932997 and 137933015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137933057) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 714583 + ... + 714775.

Almost surely, 2^137933047 is an apocalyptic number.

137933047 is a deficient number, since it is larger than the sum of its proper divisors (27714785).

137933047 is an frugal number, since it uses more digits than its factorization.

137933047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 137933047 is about 11744.4900698157. The cubic root of 137933047 is about 516.6813393451.

The spelling of 137933047 in words is "one hundred thirty-seven million, nine hundred thirty-three thousand, forty-seven".