1134375294720 has 288 divisors, whose sum is σ = 3816419443200. Its totient is φ = 286366482432.

The previous prime is 1134375294673. The next prime is 1134375294769. The reversal of 1134375294720 is 274925734311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1134375294720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113739654 + ... + 113749626.

It is an arithmetic number, because the mean of its divisors is an integer number (13251456400).

Almost surely, 2^{1134375294720} is an apocalyptic number.

1134375294720 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 1134375294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908209721600).

1134375294720 is an abundant number, since it is smaller than the sum of its proper divisors (2682044148480).

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

1134375294720 is a wasteful number, since it uses less digits than its factorization.

1134375294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11575 (or 11561 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 1134375294720 in words is "one trillion, one hundred thirty-four billion, three hundred seventy-five million, two hundred ninety-four thousand, seven hundred twenty".