132193152 has 288 divisors, whose sum is σ = 475609680. Its totient is φ = 34504704.

The previous prime is 132193151. The next prime is 132193153. The reversal of 132193152 is 251391231.

It is an interprime number because it is at equal distance from previous prime (132193151) and next prime (132193153).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132193151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1362768 + ... + 1362864.

Almost surely, 2^132193152 is an apocalyptic number.

132193152 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 132193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237804840).

132193152 is an abundant number, since it is smaller than the sum of its proper divisors (343416528).

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

132193152 is a wasteful number, since it uses less digits than its factorization.

132193152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 132193152 is about 11497.5280821575. The cubic root of 132193152 is about 509.4125646930.

The spelling of 132193152 in words is "one hundred thirty-two million, one hundred ninety-three thousand, one hundred fifty-two".