132101798400 has 1620 divisors, whose sum is σ = 581107172646. Its totient is φ = 29561241600.

The previous prime is 132101798369. The next prime is 132101798443. The reversal of 132101798400 is 4897101231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73367306496 + 58734491904 = 270864^2 + 242352^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

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 161 ways as a sum of consecutive naturals, for example, 10161676794 + ... + 10161676806.

Almost surely, 2^132101798400 is an apocalyptic number.

132101798400 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 132101798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290553586323).

132101798400 is an abundant number, since it is smaller than the sum of its proper divisors (449005374246).

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

132101798400 is an frugal number, since it uses more digits than its factorization.

132101798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 132101798400 its reverse (4897101231), we get a palindrome (136998899631).

The spelling of 132101798400 in words is "one hundred thirty-two billion, one hundred one million, seven hundred ninety-eight thousand, four hundred".