10133634126 has 64 divisors (see below), whose sum is σ = 25354861056. Its totient is φ = 2623094400.

The previous prime is 10133634107. The next prime is 10133634151. The reversal of 10133634126 is 62143633101.

It is a junction number, because it is equal to n+sod(n) for n = 10133634093 and 10133634102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97936 + ... + 172796.

It is an arithmetic number, because the mean of its divisors is an integer number (396169704).

Almost surely, 2^10133634126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133634126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677430528).

10133634126 is an abundant number, since it is smaller than the sum of its proper divisors (15221226930).

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

10133634126 is a wasteful number, since it uses less digits than its factorization.

10133634126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75177.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 10133634126 in words is "ten billion, one hundred thirty-three million, six hundred thirty-four thousand, one hundred twenty-six".