1134135131624 has 96 divisors (see below), whose sum is σ = 2478086071200. Its totient is φ = 482478996480.

The previous prime is 1134135131621. The next prime is 1134135131629. The reversal of 1134135131624 is 4261315314311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1134135131621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4427762 + ... + 4676894.

It is an arithmetic number, because the mean of its divisors is an integer number (25813396575).

Almost surely, 2^{1134135131624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134135131624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239043035600).

1134135131624 is an abundant number, since it is smaller than the sum of its proper divisors (1343950939576).

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

1134135131624 is a wasteful number, since it uses less digits than its factorization.

1134135131624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249363 (or 249342 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The spelling of 1134135131624 in words is "one trillion, one hundred thirty-four billion, one hundred thirty-five million, one hundred thirty-one thousand, six hundred twenty-four".