1134675501120 has 2240 divisors, whose sum is σ = 5098401792000. Its totient is φ = 238734397440.

The previous prime is 1134675501083. The next prime is 1134675501137. The reversal of 1134675501120 is 211055764311.

1134675501120 is a `hidden beast` number, since 1 + 1 + 34 + 67 + 550 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6338969191 + ... + 6338969369.

Almost surely, 2^{1134675501120} is an apocalyptic number.

1134675501120 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 1134675501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549200896000).

1134675501120 is an abundant number, since it is smaller than the sum of its proper divisors (3963726290880).

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

1134675501120 is a wasteful number, since it uses less digits than its factorization.

1134675501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1134675501120 in words is "one trillion, one hundred thirty-four billion, six hundred seventy-five million, five hundred one thousand, one hundred twenty".