102165045138 has 48 divisors (see below), whose sum is σ = 238522980696. Its totient is φ = 31417217280.

The previous prime is 102165045137. The next prime is 102165045149. The reversal of 102165045138 is 831540561201.

102165045138 is a `hidden beast` number, since 1 + 0 + 2 + 16 + 504 + 5 + 138 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58829047209 + 43335997929 = 242547^2 + 208173^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102165045137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282006 + ... + 532782.

Almost surely, 2^102165045138 is an apocalyptic number.

102165045138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102165045138 is an abundant number, since it is smaller than the sum of its proper divisors (136357935558).

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

102165045138 is a wasteful number, since it uses less digits than its factorization.

102165045138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252539 (or 252536 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 102165045138 in words is "one hundred two billion, one hundred sixty-five million, forty-five thousand, one hundred thirty-eight".