132131043314400 has 1728 divisors, whose sum is σ = 503830727769600. Its totient is φ = 29877855436800.

The previous prime is 132131043314383. The next prime is 132131043314429. The reversal of 132131043314400 is 4413340131231.

It is a super-2 number, since 2×132131043314400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72163321485 + ... + 72163323315.

It is an arithmetic number, because the mean of its divisors is an integer number (291568708200).

Almost surely, 2^{132131043314400} is an apocalyptic number.

132131043314400 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 132131043314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251915363884800).

132131043314400 is an abundant number, since it is smaller than the sum of its proper divisors (371699684455200).

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

132131043314400 is a wasteful number, since it uses less digits than its factorization.

132131043314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 132131043314400 its reverse (4413340131231), we get a palindrome (136544383445631).

The spelling of 132131043314400 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, forty-three million, three hundred fourteen thousand, four hundred".