132436128 has 96 divisors (see below), whose sum is σ = 384072192. Its totient is φ = 39622400.

The previous prime is 132436121. The next prime is 132436151. The reversal of 132436128 is 821634231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132436095 and 132436104.

It is not an unprimeable number, because it can be changed into a prime (132436121) 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, 86893 + ... + 88403.

It is an arithmetic number, because the mean of its divisors is an integer number (4000752).

Almost surely, 2^132436128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132436128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192036096).

132436128 is an abundant number, since it is smaller than the sum of its proper divisors (251636064).

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

132436128 is a wasteful number, since it uses less digits than its factorization.

132436128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1610 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 132436128 is about 11508.0896763972. The cubic root of 132436128 is about 509.7244801702.

The spelling of 132436128 in words is "one hundred thirty-two million, four hundred thirty-six thousand, one hundred twenty-eight".