132320142035040 has 192 divisors, whose sum is σ = 426987968363712. Its totient is φ = 34423667097600.

The previous prime is 132320142035033. The next prime is 132320142035041. The reversal of 132320142035040 is 40530241023231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132320142034989 and 132320142035007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132320142035041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 764146870 + ... + 764320010.

It is an arithmetic number, because the mean of its divisors is an integer number (2223895668561).

Almost surely, 2^{132320142035040} is an apocalyptic number.

132320142035040 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 132320142035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213493984181856).

132320142035040 is an abundant number, since it is smaller than the sum of its proper divisors (294667826328672).

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

132320142035040 is a wasteful number, since it uses less digits than its factorization.

132320142035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212033 (or 212025 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 132320142035040 its reverse (40530241023231), we get a palindrome (172850383058271).

The spelling of 132320142035040 in words is "one hundred thirty-two trillion, three hundred twenty billion, one hundred forty-two million, thirty-five thousand, forty".