132140641650400 has 144 divisors (see below), whose sum is σ = 323534382255504. Its totient is φ = 52701408481280.

The previous prime is 132140641650343. The next prime is 132140641650443. The reversal of 132140641650400 is 4056146041231.

It is a super-2 number, since 2×132140641650400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132140641650400.

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, 528994332 + ... + 529244068.

It is an arithmetic number, because the mean of its divisors is an integer number (2246766543441).

Almost surely, 2^{132140641650400} is an apocalyptic number.

132140641650400 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 132140641650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161767191127752).

132140641650400 is an abundant number, since it is smaller than the sum of its proper divisors (191393740605104).

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

132140641650400 is a wasteful number, since it uses less digits than its factorization.

132140641650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251693 (or 251680 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 132140641650400 its reverse (4056146041231), we get a palindrome (136196787691631).

The spelling of 132140641650400 in words is "one hundred thirty-two trillion, one hundred forty billion, six hundred forty-one million, six hundred fifty thousand, four hundred".