1134165352320 has 6144 divisors, whose sum is σ = 6329352960000. Its totient is φ = 187280916480.

The previous prime is 1134165352289. The next prime is 1134165352321. The reversal of 1134165352320 is 232535614311.

1134165352320 is a `hidden beast` number, since 1 + 1 + 3 + 416 + 5 + 3 + 5 + 232 + 0 = 666.

It is a super-3 number, since 3×1134165352320³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134165352321) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 39109150066 + ... + 39109150094.

It is an arithmetic number, because the mean of its divisors is an integer number (1030168125).

Almost surely, 2^{1134165352320} is an apocalyptic number.

1134165352320 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 1134165352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164676480000).

1134165352320 is an abundant number, since it is smaller than the sum of its proper divisors (5195187607680).

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

1134165352320 is a wasteful number, since it uses less digits than its factorization.

1134165352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1134165352320 in words is "one trillion, one hundred thirty-four billion, one hundred sixty-five million, three hundred fifty-two thousand, three hundred twenty".