195138432 has 96 divisors (see below), whose sum is σ = 564716880. Its totient is φ = 64677888.

The previous prime is 195138431. The next prime is 195138443. The reversal of 195138432 is 234831591.

195138432 is a `hidden beast` number, since 1 + 95 + 138 + 432 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195138431) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 268053 + ... + 268779.

Almost surely, 2^195138432 is an apocalyptic number.

195138432 is a gapful number since it is divisible by the number (12) 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 195138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282358440).

195138432 is an abundant number, since it is smaller than the sum of its proper divisors (369578448).

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

195138432 is a wasteful number, since it uses less digits than its factorization.

195138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 965 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 195138432 is about 13969.1958251003. The cubic root of 195138432 is about 580.0261898598.

The spelling of 195138432 in words is "one hundred ninety-five million, one hundred thirty-eight thousand, four hundred thirty-two".