132835248 has 320 divisors, whose sum is σ = 488857600. Its totient is φ = 33592320.

The previous prime is 132835243. The next prime is 132835267. The reversal of 132835248 is 842538231.

It is a super-2 number, since 2×132835248² = 35290406222443008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132835243) 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 63 ways as a sum of consecutive naturals, for example, 1218618 + ... + 1218726.

It is an arithmetic number, because the mean of its divisors is an integer number (1527680).

Almost surely, 2^132835248 is an apocalyptic number.

132835248 is a gapful number since it is divisible by the number (18) 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 132835248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244428800).

132835248 is an abundant number, since it is smaller than the sum of its proper divisors (356022352).

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

132835248 is a wasteful number, since it uses less digits than its factorization.

132835248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 132835248 is about 11525.4174761698. The cubic root of 132835248 is about 510.2360153286.

The spelling of 132835248 in words is "one hundred thirty-two million, eight hundred thirty-five thousand, two hundred forty-eight".