132328701120 has 448 divisors, whose sum is σ = 551390515200. Its totient is φ = 26049392640.

The previous prime is 132328701107. The next prime is 132328701121. The reversal of 132328701120 is 21107823231.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×132328701120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132328701121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1357371 + ... + 1451589.

It is an arithmetic number, because the mean of its divisors is an integer number (1230782400).

Almost surely, 2^132328701120 is an apocalyptic number.

132328701120 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 132328701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275695257600).

132328701120 is an abundant number, since it is smaller than the sum of its proper divisors (419061814080).

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

132328701120 is a wasteful number, since it uses less digits than its factorization.

132328701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94276 (or 94266 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 132328701120 in words is "one hundred thirty-two billion, three hundred twenty-eight million, seven hundred one thousand, one hundred twenty".