132531621116352 has 224 divisors, whose sum is σ = 370906665043200. Its totient is φ = 41648869785600.

The previous prime is 132531621116341. The next prime is 132531621116459. The reversal of 132531621116352 is 253611126135231.

It is a super-3 number, since 3×132531621116352³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1256278327 + ... + 1256383817.

Almost surely, 2^{132531621116352} is an apocalyptic number.

132531621116352 is a gapful number since it is divisible by the number (12) 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 132531621116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185453332521600).

132531621116352 is an abundant number, since it is smaller than the sum of its proper divisors (238375043926848).

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

132531621116352 is a wasteful number, since it uses less digits than its factorization.

132531621116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107195 (or 107185 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The spelling of 132531621116352 in words is "one hundred thirty-two trillion, five hundred thirty-one billion, six hundred twenty-one million, one hundred sixteen thousand, three hundred fifty-two".