132582420432 has 1280 divisors, whose sum is σ = 528423321600. Its totient is φ = 30792960000.

The previous prime is 132582420431. The next prime is 132582420491. The reversal of 132582420432 is 234024285231.

132582420432 is a `hidden beast` number, since 1 + 3 + 2 + 582 + 42 + 0 + 4 + 32 = 666.

It is a super-2 number, since 2×132582420432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132582420431) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1312697182 + ... + 1312697282.

It is an arithmetic number, because the mean of its divisors is an integer number (412830720).

Almost surely, 2^132582420432 is an apocalyptic number.

132582420432 is a gapful number since it is divisible by the number (12) 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 132582420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264211660800).

132582420432 is an abundant number, since it is smaller than the sum of its proper divisors (395840901168).

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

132582420432 is a wasteful number, since it uses less digits than its factorization.

132582420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 132582420432 in words is "one hundred thirty-two billion, five hundred eighty-two million, four hundred twenty thousand, four hundred thirty-two".