180197136000 has 896 divisors, whose sum is σ = 768022594560. Its totient is φ = 41169254400.

The previous prime is 180197135983. The next prime is 180197136013. The reversal of 180197136000 is 631791081.

It is a tau number, because it is divible by the number of its divisors (896).

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 111 ways as a sum of consecutive naturals, for example, 81646897 + ... + 81649103.

Almost surely, 2^180197136000 is an apocalyptic number.

180197136000 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 180197136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384011297280).

180197136000 is an abundant number, since it is smaller than the sum of its proper divisors (587825458560).

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

180197136000 is an frugal number, since it uses more digits than its factorization.

180197136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 180197136000 in words is "one hundred eighty billion, one hundred ninety-seven million, one hundred thirty-six thousand".