132428403271000 has 128 divisors (see below), whose sum is σ = 310208233420800. Its totient is φ = 52915698748800.

The previous prime is 132428403270979. The next prime is 132428403271009. The reversal of 132428403271000 is 172304824231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132428403271009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5200804269 + ... + 5200829731.

It is an arithmetic number, because the mean of its divisors is an integer number (2423501823600).

Almost surely, 2^{132428403271000} is an apocalyptic number.

132428403271000 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 132428403271000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155104116710400).

132428403271000 is an abundant number, since it is smaller than the sum of its proper divisors (177779830149800).

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

132428403271000 is a wasteful number, since it uses less digits than its factorization.

132428403271000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30746 (or 30732 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 132428403271000 in words is "one hundred thirty-two trillion, four hundred twenty-eight billion, four hundred three million, two hundred seventy-one thousand".