132363141120 has 960 divisors, whose sum is σ = 549604823040. Its totient is φ = 29599727616.

The previous prime is 132363141101. The next prime is 132363141133. The reversal of 132363141120 is 21141363231.

It is a happy number.

132363141120 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 631 + 4 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×132363141120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1285078989 + ... + 1285079091.

It is an arithmetic number, because the mean of its divisors is an integer number (572505024).

Almost surely, 2^132363141120 is an apocalyptic number.

132363141120 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 132363141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274802411520).

132363141120 is an abundant number, since it is smaller than the sum of its proper divisors (417241681920).

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

132363141120 is an equidigital number, since it uses as much as digits as its factorization.

132363141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 132363141120 in words is "one hundred thirty-two billion, three hundred sixty-three million, one hundred forty-one thousand, one hundred twenty".