132717856471200 has 8064 divisors, whose sum is σ = 708926889775104. Its totient is φ = 23326507008000.

The previous prime is 132717856471177. The next prime is 132717856471231. The reversal of 132717856471200 is 2174658717231.

132717856471200 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 1 + 7 + 8 + 564 + 71 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×132717856471200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 426745519045 + ... + 426745519355.

It is an arithmetic number, because the mean of its divisors is an integer number (87912560736).

Almost surely, 2^{132717856471200} is an apocalyptic number.

132717856471200 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 132717856471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354463444887552).

132717856471200 is an abundant number, since it is smaller than the sum of its proper divisors (576209033303904).

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

132717856471200 is a wasteful number, since it uses less digits than its factorization.

132717856471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 132717856471200 in words is "one hundred thirty-two trillion, seven hundred seventeen billion, eight hundred fifty-six million, four hundred seventy-one thousand, two hundred".