132451735680 has 768 divisors, whose sum is σ = 526983408000. Its totient is φ = 31180308480.

The previous prime is 132451735679. The next prime is 132451735771. The reversal of 132451735680 is 86537154231.

It is a happy number.

132451735680 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 517 + 3 + 56 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260219266 + ... + 260219774.

Almost surely, 2^132451735680 is an apocalyptic number.

132451735680 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 132451735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263491704000).

132451735680 is an abundant number, since it is smaller than the sum of its proper divisors (394531672320).

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

132451735680 is a wasteful number, since it uses less digits than its factorization.

132451735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 132451735680 in words is "one hundred thirty-two billion, four hundred fifty-one million, seven hundred thirty-five thousand, six hundred eighty".