10135142226 has 96 divisors (see below), whose sum is σ = 25332605760. Its totient is φ = 2999747520.

The previous prime is 10135142221. The next prime is 10135142239. The reversal of 10135142226 is 62224153101.

10135142226 is a `hidden beast` number, since 101 + 3 + 514 + 22 + 26 = 666.

It is a super-2 number, since 2×10135142226² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10135142226.

It is not an unprimeable number, because it can be changed into a prime (10135142221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262926 + ... + 298998.

It is an arithmetic number, because the mean of its divisors is an integer number (263881310).

Almost surely, 2^10135142226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135142226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12666302880).

10135142226 is an abundant number, since it is smaller than the sum of its proper divisors (15197463534).

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

10135142226 is a wasteful number, since it uses less digits than its factorization.

10135142226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36149 (or 36132 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10135142226 its reverse (62224153101), we get a palindrome (72359295327).

The spelling of 10135142226 in words is "ten billion, one hundred thirty-five million, one hundred forty-two thousand, two hundred twenty-six".