1377564138 has 32 divisors (see below), whose sum is σ = 3064504320. Its totient is φ = 458700480.

The previous prime is 1377564137. The next prime is 1377564173. The reversal of 1377564138 is 8314657731.

1377564138 is a `hidden beast` number, since 1 + 3 + 77 + 564 + 13 + 8 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 1377564093 and 1377564102.

It is not an unprimeable number, because it can be changed into a prime (1377564137) 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, 39703 + ... + 65813.

It is an arithmetic number, because the mean of its divisors is an integer number (95765760).

Almost surely, 2^1377564138 is an apocalyptic number.

1377564138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1377564138 is an abundant number, since it is smaller than the sum of its proper divisors (1686940182).

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

1377564138 is a wasteful number, since it uses less digits than its factorization.

1377564138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27099 (or 27093 counting only the distinct ones).

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

The square root of 1377564138 is about 37115.5511612047. The cubic root of 1377564138 is about 1112.6808393144.

The spelling of 1377564138 in words is "one billion, three hundred seventy-seven million, five hundred sixty-four thousand, one hundred thirty-eight".