132825420 has 480 divisors, whose sum is σ = 553246848. Its totient is φ = 25878528.

The previous prime is 132825389. The next prime is 132825457. The reversal of 132825420 is 24528231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2506114 + ... + 2506166.

Almost surely, 2^132825420 is an apocalyptic number.

132825420 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 132825420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276623424).

132825420 is an abundant number, since it is smaller than the sum of its proper divisors (420421428).

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

132825420 is a wasteful number, since it uses less digits than its factorization.

132825420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132825420 is about 11524.9911062872. The cubic root of 132825420 is about 510.2234315119.

The spelling of 132825420 in words is "one hundred thirty-two million, eight hundred twenty-five thousand, four hundred twenty".