132040242400 has 144 divisors (see below), whose sum is σ = 361152041040. Its totient is φ = 46716825600.

The previous prime is 132040242391. The next prime is 132040242413. The reversal of 132040242400 is 4242040231.

It is a happy number.

It is a super-2 number, since 2×132040242400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122836 + ... + 528364.

It is an arithmetic number, because the mean of its divisors is an integer number (2508000285).

Almost surely, 2^132040242400 is an apocalyptic number.

132040242400 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 132040242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180576020520).

132040242400 is an abundant number, since it is smaller than the sum of its proper divisors (229111798640).

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

132040242400 is a wasteful number, since it uses less digits than its factorization.

132040242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405597 (or 405584 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 132040242400 its reverse (4242040231), we get a palindrome (136282282631).

The spelling of 132040242400 in words is "one hundred thirty-two billion, forty million, two hundred forty-two thousand, four hundred".