132013420 has 72 divisors (see below), whose sum is σ = 348298272. Its totient is φ = 41141760.

The previous prime is 132013417. The next prime is 132013457. The reversal of 132013420 is 24310231.

It is a happy number.

132013420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132013394 and 132013403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13044 + ... + 20836.

It is an arithmetic number, because the mean of its divisors is an integer number (4837476).

Almost surely, 2^132013420 is an apocalyptic number.

132013420 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 132013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174149136).

132013420 is an abundant number, since it is smaller than the sum of its proper divisors (216284852).

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

132013420 is a wasteful number, since it uses less digits than its factorization.

132013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132013420 is about 11489.7093087684. The cubic root of 132013420 is about 509.1815913949.

Adding to 132013420 its reverse (24310231), we get a palindrome (156323651).

The spelling of 132013420 in words is "one hundred thirty-two million, thirteen thousand, four hundred twenty".