132538374144 has 864 divisors, whose sum is σ = 456761410560. Its totient is φ = 38320128000.

The previous prime is 132538374109. The next prime is 132538374169. The reversal of 132538374144 is 441473835231.

It is a happy number.

132538374144 is a `hidden beast` number, since 1 + 3 + 2 + 538 + 3 + 74 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×132538374144³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132538374144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1866737629 + ... + 1866737699.

It is an arithmetic number, because the mean of its divisors is an integer number (528659040).

Almost surely, 2^132538374144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132538374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228380705280).

132538374144 is an abundant number, since it is smaller than the sum of its proper divisors (324223036416).

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

132538374144 is an equidigital number, since it uses as much as digits as its factorization.

132538374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 132538374144 in words is "one hundred thirty-two billion, five hundred thirty-eight million, three hundred seventy-four thousand, one hundred forty-four".