1134459144 has 288 divisors, whose sum is σ = 4008139200. Its totient is φ = 283046400.

The previous prime is 1134459119. The next prime is 1134459187. The reversal of 1134459144 is 4419544311.

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

It is a junction number, because it is equal to n+sod(n) for n = 1134459099 and 1134459108.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1617994 + ... + 1618694.

It is an arithmetic number, because the mean of its divisors is an integer number (13917150).

Almost surely, 2^1134459144 is an apocalyptic number.

1134459144 is a gapful number since it is divisible by the number (14) 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 1134459144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004069600).

1134459144 is an abundant number, since it is smaller than the sum of its proper divisors (2873680056).

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

1134459144 is a wasteful number, since it uses less digits than its factorization.

1134459144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 745 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1134459144 is about 33681.7330908016. The cubic root of 1134459144 is about 1042.9487149321.

The spelling of 1134459144 in words is "one billion, one hundred thirty-four million, four hundred fifty-nine thousand, one hundred forty-four".