204626135142 has 160 divisors (see below), whose sum is σ = 539166862080. Its totient is φ = 57185714880.

The previous prime is 204626135123. The next prime is 204626135149. The reversal of 204626135142 is 241531626402.

204626135142 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 261 + 351 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 204626135097 and 204626135106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204626135149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30181909 + ... + 30188687.

It is an arithmetic number, because the mean of its divisors is an integer number (3369792888).

Almost surely, 2^204626135142 is an apocalyptic number.

204626135142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204626135142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269583431040).

204626135142 is an abundant number, since it is smaller than the sum of its proper divisors (334540726938).

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

204626135142 is a wasteful number, since it uses less digits than its factorization.

204626135142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8120 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 204626135142 in words is "two hundred four billion, six hundred twenty-six million, one hundred thirty-five thousand, one hundred forty-two".