1138505340 has 96 divisors (see below), whose sum is σ = 3689441280. Its totient is φ = 256928256.

The previous prime is 1138505309. The next prime is 1138505341. The reversal of 1138505340 is 435058311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1138505298 and 1138505307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138505341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16024 + ... + 50336.

It is an arithmetic number, because the mean of its divisors is an integer number (38431680).

Almost surely, 2^1138505340 is an apocalyptic number.

1138505340 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 1138505340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844720640).

1138505340 is an abundant number, since it is smaller than the sum of its proper divisors (2550935940).

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

1138505340 is a wasteful number, since it uses less digits than its factorization.

1138505340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34411 (or 34409 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1138505340 is about 33741.7447681651. The cubic root of 1138505340 is about 1044.1871811000.

The spelling of 1138505340 in words is "one billion, one hundred thirty-eight million, five hundred five thousand, three hundred forty".