132653798439840 has 768 divisors, whose sum is σ = 476029617154560. Its totient is φ = 34491132149760.

The previous prime is 132653798439821. The next prime is 132653798439857. The reversal of 132653798439840 is 48934897356231.

It is a happy number.

132653798439840 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 53 + 79 + 84 + 398 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16092898759 + ... + 16092907001.

It is an arithmetic number, because the mean of its divisors is an integer number (619830230670).

It is a 1-persistent number, because it is pandigital, but 2⋅132653798439840 = 265307596879680 is not.

Almost surely, 2^{132653798439840} is an apocalyptic number.

132653798439840 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 132653798439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238014808577280).

132653798439840 is an abundant number, since it is smaller than the sum of its proper divisors (343375818714720).

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

132653798439840 is a wasteful number, since it uses less digits than its factorization.

132653798439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8854 (or 8840 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 132653798439840 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, seven hundred ninety-eight million, four hundred thirty-nine thousand, eight hundred forty".