1139812128 has 576 divisors, whose sum is σ = 4424112000. Its totient is φ = 282175488.

The previous prime is 1139812103. The next prime is 1139812133. The reversal of 1139812128 is 8212189311.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1139812092 and 1139812101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10456938 + ... + 10457046.

It is an arithmetic number, because the mean of its divisors is an integer number (7680750).

Almost surely, 2^1139812128 is an apocalyptic number.

1139812128 is a gapful number since it is divisible by the number (18) 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 1139812128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212056000).

1139812128 is an abundant number, since it is smaller than the sum of its proper divisors (3284299872).

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

1139812128 is a wasteful number, since it uses less digits than its factorization.

1139812128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1139812128 is about 33761.1037734254. The cubic root of 1139812128 is about 1044.5865378966.

The spelling of 1139812128 in words is "one billion, one hundred thirty-nine million, eight hundred twelve thousand, one hundred twenty-eight".