204075995148 has 144 divisors (see below), whose sum is σ = 529729593120. Its totient is φ = 66221337600.

The previous prime is 204075995147. The next prime is 204075995203. The reversal of 204075995148 is 841599570402.

It is a happy number.

204075995148 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 7 + 599 + 5 + 1 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 204075995094 and 204075995103.

It is not an unprimeable number, because it can be changed into a prime (204075995143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192342538 + ... + 192343598.

It is an arithmetic number, because the mean of its divisors is an integer number (3678677730).

Almost surely, 2^204075995148 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 204075995148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264864796560).

204075995148 is an abundant number, since it is smaller than the sum of its proper divisors (325653597972).

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

204075995148 is a wasteful number, since it uses less digits than its factorization.

204075995148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 204075995148 in words is "two hundred four billion, seventy-five million, nine hundred ninety-five thousand, one hundred forty-eight".