180900132807744 has 315 divisors, whose sum is σ = 604954064167557. Its totient is φ = 51681233060352.

The previous prime is 180900132807727. The next prime is 180900132807767. The reversal of 180900132807744 is 447708231009081.

The square root of 180900132807744 is 13449912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53763503169600 + 127136629638144 = 7332360^2 + 11275488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15817090794 + ... + 15817102230.

Almost surely, 2^{180900132807744} is an apocalyptic number.

180900132807744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

180900132807744 is the 13449912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180900132807744

180900132807744 is an abundant number, since it is smaller than the sum of its proper divisors (424053931359813).

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

180900132807744 is an frugal number, since it uses more digits than its factorization.

180900132807744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22920 (or 11449 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 180900132807744 in words is "one hundred eighty trillion, nine hundred billion, one hundred thirty-two million, eight hundred seven thousand, seven hundred forty-four".