132028416000 has 1440 divisors, whose sum is σ = 558192398400. Its totient is φ = 29727129600.

The previous prime is 132028415993. The next prime is 132028416031. The reversal of 132028416000 is 614820231.

132028416000 is a `hidden beast` number, since 1 + 32 + 0 + 28 + 4 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 4552703986 + ... + 4552704014.

It is an arithmetic number, because the mean of its divisors is an integer number (387633610).

Almost surely, 2^132028416000 is an apocalyptic number.

132028416000 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 132028416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279096199200).

132028416000 is an abundant number, since it is smaller than the sum of its proper divisors (426163982400).

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

132028416000 is a wasteful number, since it uses less digits than its factorization.

132028416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 132028416000 in words is "one hundred thirty-two billion, twenty-eight million, four hundred sixteen thousand".