132511344 has 80 divisors (see below), whose sum is σ = 400807680. Its totient is φ = 36933120.

The previous prime is 132511343. The next prime is 132511363. The reversal of 132511344 is 443115231.

It is a happy number.

It is a super-3 number, since 3×132511344³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132511343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8967 + ... + 18585.

It is an arithmetic number, because the mean of its divisors is an integer number (5010096).

Almost surely, 2^132511344 is an apocalyptic number.

132511344 is a gapful number since it is divisible by the number (14) 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 132511344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200403840).

132511344 is an abundant number, since it is smaller than the sum of its proper divisors (268296336).

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

132511344 is a wasteful number, since it uses less digits than its factorization.

132511344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9678 (or 9672 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 132511344 is about 11511.3571745472. The cubic root of 132511344 is about 509.8209598373.

Adding to 132511344 its reverse (443115231), we get a palindrome (575626575).

The spelling of 132511344 in words is "one hundred thirty-two million, five hundred eleven thousand, three hundred forty-four".