132544512 has 240 divisors, whose sum is σ = 428107680. Its totient is φ = 40697856.

The previous prime is 132544507. The next prime is 132544523. The reversal of 132544512 is 215445231.

It is a super-2 number, since 2×132544512² = 35136095322636288, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2820073 + ... + 2820119.

It is an arithmetic number, because the mean of its divisors is an integer number (1783782).

Almost surely, 2^132544512 is an apocalyptic number.

132544512 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 132544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214053840).

132544512 is an abundant number, since it is smaller than the sum of its proper divisors (295563168).

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

132544512 is an equidigital number, since it uses as much as digits as its factorization.

132544512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 132544512 is about 11512.7977485927. The cubic root of 132544512 is about 509.8634928774.

Adding to 132544512 its reverse (215445231), we get a palindrome (347989743).

It can be divided in two parts, 13254 and 4512, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 132544512 in words is "one hundred thirty-two million, five hundred forty-four thousand, five hundred twelve".