1134148608000 has 1792 divisors, whose sum is σ = 4710754713600. Its totient is φ = 267544166400.

The previous prime is 1134148607951. The next prime is 1134148608013. The reversal of 1134148608000 is 8068414311.

It is a happy number.

1134148608000 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 48 + 608 + 0 + 0 + 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 127 ways as a sum of consecutive naturals, for example, 8930303937 + ... + 8930304063.

Almost surely, 2^{1134148608000} is an apocalyptic number.

1134148608000 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 1134148608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355377356800).

1134148608000 is an abundant number, since it is smaller than the sum of its proper divisors (3576606105600).

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

1134148608000 is a wasteful number, since it uses less digits than its factorization.

1134148608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1134148608000 in words is "one trillion, one hundred thirty-four billion, one hundred forty-eight million, six hundred eight thousand".