132145128 has 64 divisors (see below), whose sum is σ = 368164800. Its totient is φ = 43917120.

The previous prime is 132145127. The next prime is 132145163. The reversal of 132145128 is 821541231.

132145128 is a `hidden beast` number, since 132 + 14 + 512 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132145121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94998 + ... + 96378.

It is an arithmetic number, because the mean of its divisors is an integer number (5752575).

Almost surely, 2^132145128 is an apocalyptic number.

132145128 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 132145128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184082400).

132145128 is an abundant number, since it is smaller than the sum of its proper divisors (236019672).

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

132145128 is a wasteful number, since it uses less digits than its factorization.

132145128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1829 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 132145128 is about 11495.4394435359. The cubic root of 132145128 is about 509.3508696361.

Adding to 132145128 its reverse (821541231), we get a palindrome (953686359).

The spelling of 132145128 in words is "one hundred thirty-two million, one hundred forty-five thousand, one hundred twenty-eight".