138756267 has 48 divisors (see below), whose sum is σ = 227681280. Its totient is φ = 83442528.

The previous prime is 138756257. The next prime is 138756281. The reversal of 138756267 is 762657831.

138756267 is a `hidden beast` number, since 1 + 3 + 87 + 562 + 6 + 7 = 666.

It is not a de Polignac number, because 138756267 - 2⁷ = 138756139 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138756257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214138 + ... + 214784.

It is an arithmetic number, because the mean of its divisors is an integer number (4743360).

Almost surely, 2^138756267 is an apocalyptic number.

138756267 is a deficient number, since it is larger than the sum of its proper divisors (88925013).

138756267 is a wasteful number, since it uses less digits than its factorization.

138756267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 710 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 138756267 is about 11779.4850057208. The cubic root of 138756267 is about 517.7071970144.

The spelling of 138756267 in words is "one hundred thirty-eight million, seven hundred fifty-six thousand, two hundred sixty-seven".