132142848 has 72 divisors (see below), whose sum is σ = 356661648. Its totient is φ = 43425792.

The previous prime is 132142823. The next prime is 132142849. The reversal of 132142848 is 848241231.

It is a super-2 number, since 2×132142848² = 34923464555102208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132142849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54886 + ... + 57242.

It is an arithmetic number, because the mean of its divisors is an integer number (4953634).

Almost surely, 2^132142848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178330824).

132142848 is an abundant number, since it is smaller than the sum of its proper divisors (224518800).

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

132142848 is an equidigital number, since it uses as much as digits as its factorization.

132142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2435 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 132142848 is about 11495.3402733455. The cubic root of 132142848 is about 509.3479402138.

The spelling of 132142848 in words is "one hundred thirty-two million, one hundred forty-two thousand, eight hundred forty-eight".