132414675480 has 384 divisors, whose sum is σ = 456799150080. Its totient is φ = 34488115200.

The previous prime is 132414675403. The next prime is 132414675499. The reversal of 132414675480 is 84576414231.

132414675480 is a `hidden beast` number, since 1 + 3 + 2 + 41 + 4 + 67 + 548 + 0 = 666.

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

It is a congruent number.

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, 82706680 + ... + 82708280.

It is an arithmetic number, because the mean of its divisors is an integer number (1189581120).

Almost surely, 2^132414675480 is an apocalyptic number.

132414675480 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 132414675480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228399575040).

132414675480 is an abundant number, since it is smaller than the sum of its proper divisors (324384474600).

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

132414675480 is a wasteful number, since it uses less digits than its factorization.

132414675480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 132414675480 in words is "one hundred thirty-two billion, four hundred fourteen million, six hundred seventy-five thousand, four hundred eighty".