137688267 has 8 divisors (see below), whose sum is σ = 189506560. Its totient is φ = 88831080.

The previous prime is 137688227. The next prime is 137688277. The reversal of 137688267 is 762886731.

137688267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 137688267 - 2⁶ = 137688203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137688227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 740167 + ... + 740352.

It is an arithmetic number, because the mean of its divisors is an integer number (23688320).

Almost surely, 2^137688267 is an apocalyptic number.

137688267 is a deficient number, since it is larger than the sum of its proper divisors (51818293).

137688267 is a wasteful number, since it uses less digits than its factorization.

137688267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480553.

The product of its digits is 677376, while the sum is 48.

The square root of 137688267 is about 11734.0643853696. The cubic root of 137688267 is about 516.3755191200.

The spelling of 137688267 in words is "one hundred thirty-seven million, six hundred eighty-eight thousand, two hundred sixty-seven".