1135233220140 has 240 divisors, whose sum is σ = 3582119661120. Its totient is φ = 300960645120.

The previous prime is 1135233220109. The next prime is 1135233220171. The reversal of 1135233220140 is 410223325311.

1135233220140 is a `hidden beast` number, since 113 + 523 + 3 + 2 + 20 + 1 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1135233220109) and next prime (1135233220171).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290264785 + ... + 290268695.

It is an arithmetic number, because the mean of its divisors is an integer number (14925498588).

Almost surely, 2^{1135233220140} is an apocalyptic number.

1135233220140 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 1135233220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791059830560).

1135233220140 is an abundant number, since it is smaller than the sum of its proper divisors (2446886440980).

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

1135233220140 is a wasteful number, since it uses less digits than its factorization.

1135233220140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4934 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1135233220140 its reverse (410223325311), we get a palindrome (1545456545451).

The spelling of 1135233220140 in words is "one trillion, one hundred thirty-five billion, two hundred thirty-three million, two hundred twenty thousand, one hundred forty".