132478128 has 120 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 41927040.

The previous prime is 132478109. The next prime is 132478139. The reversal of 132478128 is 821874231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132478092 and 132478101.

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, 263125 + ... + 263627.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^132478128 is an apocalyptic number.

132478128 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 132478128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

132478128 is an abundant number, since it is smaller than the sum of its proper divisors (257496912).

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

132478128 is a wasteful number, since it uses less digits than its factorization.

132478128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 132478128 is about 11509.9143350418. The cubic root of 132478128 is about 509.7783581308.

The spelling of 132478128 in words is "one hundred thirty-two million, four hundred seventy-eight thousand, one hundred twenty-eight".