132794757117600 has 288 divisors, whose sum is σ = 438535707918336. Its totient is φ = 34900419456000.

The previous prime is 132794757117599. The next prime is 132794757117601. The reversal of 132794757117600 is 6711757497231.

It is an interprime number because it is at equal distance from previous prime (132794757117599) and next prime (132794757117601).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (132794757117601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44582157 + ... + 47467443.

It is an arithmetic number, because the mean of its divisors is an integer number (1522693430272).

Almost surely, 2^{132794757117600} is an apocalyptic number.

132794757117600 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 132794757117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219267853959168).

132794757117600 is an abundant number, since it is smaller than the sum of its proper divisors (305740950800736).

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

132794757117600 is a wasteful number, since it uses less digits than its factorization.

132794757117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885588 (or 2885575 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 60.

The spelling of 132794757117600 in words is "one hundred thirty-two trillion, seven hundred ninety-four billion, seven hundred fifty-seven million, one hundred seventeen thousand, six hundred".