132142233600 has 1728 divisors, whose sum is σ = 569282313600. Its totient is φ = 30098718720.

The previous prime is 132142233593. The next prime is 132142233611. The reversal of 132142233600 is 6332241231.

132142233600 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 22 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3073075179 + ... + 3073075221.

Almost surely, 2^132142233600 is an apocalyptic number.

132142233600 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 132142233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284641156800).

132142233600 is an abundant number, since it is smaller than the sum of its proper divisors (437140080000).

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

132142233600 is a wasteful number, since it uses less digits than its factorization.

132142233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132142233600 its reverse (6332241231), we get a palindrome (138474474831).

The spelling of 132142233600 in words is "one hundred thirty-two billion, one hundred forty-two million, two hundred thirty-three thousand, six hundred".