132416020 has 48 divisors (see below), whose sum is σ = 304609536. Its totient is φ = 47952000.

The previous prime is 132416017. The next prime is 132416021. The reversal of 132416020 is 20614231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132416021) 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 15 ways as a sum of consecutive naturals, for example, 58510 + ... + 60730.

It is an arithmetic number, because the mean of its divisors is an integer number (6346032).

Almost surely, 2^132416020 is an apocalyptic number.

132416020 is a gapful number since it is divisible by the number (10) 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 132416020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152304768).

132416020 is an abundant number, since it is smaller than the sum of its proper divisors (172193516).

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

132416020 is a wasteful number, since it uses less digits than its factorization.

132416020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 132416020 is about 11507.2159969299. The cubic root of 132416020 is about 509.6986814228.

The spelling of 132416020 in words is "one hundred thirty-two million, four hundred sixteen thousand, twenty".