132195400 has 96 divisors (see below), whose sum is σ = 331452000. Its totient is φ = 48849920.

The previous prime is 132195347. The next prime is 132195419. The reversal of 132195400 is 4591231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200271 + ... + 200929.

It is an arithmetic number, because the mean of its divisors is an integer number (3452625).

Almost surely, 2^132195400 is an apocalyptic number.

132195400 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 132195400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165726000).

132195400 is an abundant number, since it is smaller than the sum of its proper divisors (199256600).

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

132195400 is a wasteful number, since it uses less digits than its factorization.

132195400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 132195400 is about 11497.6258418858. The cubic root of 132195400 is about 509.4154522681.

It can be divided in two parts, 1321 and 95400, that added together give a square (96721 = 311²).

The spelling of 132195400 in words is "one hundred thirty-two million, one hundred ninety-five thousand, four hundred".