180152138880 has 2560 divisors, whose sum is σ = 863742528000. Its totient is φ = 34780741632.

The previous prime is 180152138833. The next prime is 180152138891. The reversal of 180152138880 is 88831251081.

180152138880 is a `hidden beast` number, since 18 + 0 + 1 + 521 + 38 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3399096934 + ... + 3399096986.

It is an arithmetic number, because the mean of its divisors is an integer number (337399425).

Almost surely, 2^180152138880 is an apocalyptic number.

180152138880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180152138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431871264000).

180152138880 is an abundant number, since it is smaller than the sum of its proper divisors (683590389120).

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

180152138880 is a wasteful number, since it uses less digits than its factorization.

180152138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 180152138880 in words is "one hundred eighty billion, one hundred fifty-two million, one hundred thirty-eight thousand, eight hundred eighty".