1134142443120 has 160 divisors (see below), whose sum is σ = 3723119615808. Its totient is φ = 284612050944.

The previous prime is 1134142443097. The next prime is 1134142443121. The reversal of 1134142443120 is 213442414311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134142443121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51547962 + ... + 51569958.

Almost surely, 2^{1134142443120} is an apocalyptic number.

1134142443120 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 1134142443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861559807904).

1134142443120 is an abundant number, since it is smaller than the sum of its proper divisors (2588977172688).

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

1134142443120 is a wasteful number, since it uses less digits than its factorization.

1134142443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34667 (or 34661 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1134142443120 its reverse (213442414311), we get a palindrome (1347584857431).

The spelling of 1134142443120 in words is "one trillion, one hundred thirty-four billion, one hundred forty-two million, four hundred forty-three thousand, one hundred twenty".