1134076515840 has 800 divisors, whose sum is σ = 4150457853696. Its totient is φ = 295906590720.

The previous prime is 1134076515839. The next prime is 1134076515877. The reversal of 1134076515840 is 485156704311.

1134076515840 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 0 + 7 + 65 + 1 + 584 + 0 = 666.

It is a super-2 number, since 2×1134076515840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2254625029 + ... + 2254625531.

Almost surely, 2^{1134076515840} is an apocalyptic number.

1134076515840 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 1134076515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075228926848).

1134076515840 is an abundant number, since it is smaller than the sum of its proper divisors (3016381337856).

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

1134076515840 is an equidigital number, since it uses as much as digits as its factorization.

1134076515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1134076515840 in words is "one trillion, one hundred thirty-four billion, seventy-six million, five hundred fifteen thousand, eight hundred forty".