180513902142000 has 240 divisors, whose sum is σ = 720542730652992. Its totient is φ = 41260320460800.

The previous prime is 180513902141899. The next prime is 180513902142017. The reversal of 180513902142000 is 241209315081.

180513902142000 is a `hidden beast` number, since 1 + 8 + 0 + 51 + 390 + 2 + 14 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716199009 + ... + 716451008.

Almost surely, 2^{180513902142000} is an apocalyptic number.

180513902142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180513902142000 is an abundant number, since it is smaller than the sum of its proper divisors (540028828510992).

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

180513902142000 is a wasteful number, since it uses less digits than its factorization.

180513902142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432650053 (or 1432650034 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 180513902142000 in words is "one hundred eighty trillion, five hundred thirteen billion, nine hundred two million, one hundred forty-two thousand".