132284765795840 has 640 divisors, whose sum is σ = 393868070830080. Its totient is φ = 41579425824768.

The previous prime is 132284765795803. The next prime is 132284765795849. The reversal of 132284765795840 is 48597567482231.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×132284765795840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132284765795849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2244253409 + ... + 2244312351.

It is an arithmetic number, because the mean of its divisors is an integer number (615418860672).

It is a 1-persistent number, because it is pandigital, but 2⋅132284765795840 = 264569531591680 is not.

Almost surely, 2^{132284765795840} is an apocalyptic number.

132284765795840 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 132284765795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196934035415040).

132284765795840 is an abundant number, since it is smaller than the sum of its proper divisors (261583305034240).

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

132284765795840 is a wasteful number, since it uses less digits than its factorization.

132284765795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59182 (or 59166 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 71.

The spelling of 132284765795840 in words is "one hundred thirty-two trillion, two hundred eighty-four billion, seven hundred sixty-five million, seven hundred ninety-five thousand, eight hundred forty".