1134166062100 has 72 divisors (see below), whose sum is σ = 2491209302400. Its totient is φ = 448133664000.

The previous prime is 1134166062097. The next prime is 1134166062143. The reversal of 1134166062100 is 12606614311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9185775 + ... + 9308425.

It is an arithmetic number, because the mean of its divisors is an integer number (34600129200).

Almost surely, 2^{1134166062100} is an apocalyptic number.

1134166062100 is a gapful number since it is divisible by the number (10) 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 1134166062100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245604651200).

1134166062100 is an abundant number, since it is smaller than the sum of its proper divisors (1357043240300).

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

1134166062100 is a wasteful number, since it uses less digits than its factorization.

1134166062100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123793 (or 123786 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 1134166062100 in words is "one trillion, one hundred thirty-four billion, one hundred sixty-six million, sixty-two thousand, one hundred".