1135245144000 has 448 divisors, whose sum is σ = 4176412710912. Its totient is φ = 269352448000.

The previous prime is 1135245143959. The next prime is 1135245144041. The reversal of 1135245144000 is 4415425311.

It is an interprime number because it is at equal distance from previous prime (1135245143959) and next prime (1135245144041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12362254 + ... + 12453746.

Almost surely, 2^{1135245144000} is an apocalyptic number.

1135245144000 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 1135245144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088206355456).

1135245144000 is an abundant number, since it is smaller than the sum of its proper divisors (3041167566912).

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

1135245144000 is a wasteful number, since it uses less digits than its factorization.

1135245144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91581 (or 91561 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1135245144000 in words is "one trillion, one hundred thirty-five billion, two hundred forty-five million, one hundred forty-four thousand".