132349152 has 96 divisors (see below), whose sum is σ = 376917408. Its totient is φ = 40421376.

The previous prime is 132349123. The next prime is 132349157. The reversal of 132349152 is 251943231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132349157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215598 + ... + 216210.

It is an arithmetic number, because the mean of its divisors is an integer number (3926223).

Almost surely, 2^132349152 is an apocalyptic number.

132349152 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 132349152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188458704).

132349152 is an abundant number, since it is smaller than the sum of its proper divisors (244568256).

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

132349152 is a wasteful number, since it uses less digits than its factorization.

132349152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 132349152 is about 11504.3101488094. The cubic root of 132349152 is about 509.6128703805.

It can be divided in two parts, 1323 and 49152, that multiplied together give a square (65028096 = 8064²).

The spelling of 132349152 in words is "one hundred thirty-two million, three hundred forty-nine thousand, one hundred fifty-two".