1135345231700 has 72 divisors (see below), whose sum is σ = 2509540941600. Its totient is φ = 445765887360.

The previous prime is 1135345231697. The next prime is 1135345231721. The reversal of 1135345231700 is 71325435311.

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, 679571 + ... + 1653029.

It is an arithmetic number, because the mean of its divisors is an integer number (34854735300).

Almost surely, 2^{1135345231700} is an apocalyptic number.

1135345231700 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 1135345231700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254770470800).

1135345231700 is an abundant number, since it is smaller than the sum of its proper divisors (1374195709900).

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

1135345231700 is a wasteful number, since it uses less digits than its factorization.

1135345231700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973689 (or 973682 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 1135345231700 in words is "one trillion, one hundred thirty-five billion, three hundred forty-five million, two hundred thirty-one thousand, seven hundred".