1138133040 has 160 divisors (see below), whose sum is σ = 3860752896. Its totient is φ = 275066880.

The previous prime is 1138133027. The next prime is 1138133047. The reversal of 1138133040 is 403318311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1138133040.

It is not an unprimeable number, because it can be changed into a prime (1138133047) 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, 1565157 + ... + 1565883.

Almost surely, 2^1138133040 is an apocalyptic number.

1138133040 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 1138133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930376448).

1138133040 is an abundant number, since it is smaller than the sum of its proper divisors (2722619856).

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

1138133040 is a wasteful number, since it uses less digits than its factorization.

1138133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1138133040 is about 33736.2274120863. The cubic root of 1138133040 is about 1044.0733496122.

The spelling of 1138133040 in words is "one billion, one hundred thirty-eight million, one hundred thirty-three thousand, forty".