1135142916102 has 64 divisors (see below), whose sum is σ = 2718678029760. Its totient is φ = 349005169152.

The previous prime is 1135142916091. The next prime is 1135142916107. The reversal of 1135142916102 is 2016192415311.

1135142916102 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 14 + 29 + 1 + 610 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135142916107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287128 + ... + 1533860.

It is an arithmetic number, because the mean of its divisors is an integer number (42479344215).

Almost surely, 2^{1135142916102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135142916102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359339014880).

1135142916102 is an abundant number, since it is smaller than the sum of its proper divisors (1583535113658).

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

1135142916102 is a wasteful number, since it uses less digits than its factorization.

1135142916102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248054 (or 1248048 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1135142916102 in words is "one trillion, one hundred thirty-five billion, one hundred forty-two million, nine hundred sixteen thousand, one hundred two".