1134107457120 has 576 divisors, whose sum is σ = 4614562068480. Its totient is φ = 250413465600.

The previous prime is 1134107457101. The next prime is 1134107457167. The reversal of 1134107457120 is 217547014311.

1134107457120 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 10 + 74 + 571 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8279751 + ... + 8415609.

It is an arithmetic number, because the mean of its divisors is an integer number (8011392480).

Almost surely, 2^{1134107457120} is an apocalyptic number.

1134107457120 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 1134107457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307281034240).

1134107457120 is an abundant number, since it is smaller than the sum of its proper divisors (3480454611360).

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

1134107457120 is a wasteful number, since it uses less digits than its factorization.

1134107457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135939 (or 135928 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 1134107457120 in words is "one trillion, one hundred thirty-four billion, one hundred seven million, four hundred fifty-seven thousand, one hundred twenty".