277638138 has 32 divisors (see below), whose sum is σ = 617843520. Its totient is φ = 92415600.

The previous prime is 277638131. The next prime is 277638157. The reversal of 277638138 is 831836772.

277638138 is a `hidden beast` number, since 2 + 7 + 7 + 638 + 1 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 277638093 and 277638102.

It is not an unprimeable number, because it can be changed into a prime (277638131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39813 + ... + 46263.

It is an arithmetic number, because the mean of its divisors is an integer number (19307610).

Almost surely, 2^277638138 is an apocalyptic number.

277638138 is an abundant number, since it is smaller than the sum of its proper divisors (340205382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

277638138 is a wasteful number, since it uses less digits than its factorization.

277638138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7253 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 277638138 is about 16662.4769467207. The cubic root of 277638138 is about 652.3685876193.

The spelling of 277638138 in words is "two hundred seventy-seven million, six hundred thirty-eight thousand, one hundred thirty-eight".