1138507320 has 128 divisors (see below), whose sum is σ = 3504384000. Its totient is φ = 295766016.

The previous prime is 1138507319. The next prime is 1138507369. The reversal of 1138507320 is 237058311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1900381 + ... + 1900979.

It is an arithmetic number, because the mean of its divisors is an integer number (27378000).

Almost surely, 2^1138507320 is an apocalyptic number.

1138507320 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 1138507320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752192000).

1138507320 is an abundant number, since it is smaller than the sum of its proper divisors (2365876680).

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

1138507320 is a wasteful number, since it uses less digits than its factorization.

1138507320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1138507320 is about 33741.7741086624. The cubic root of 1138507320 is about 1044.1877864227.

The spelling of 1138507320 in words is "one billion, one hundred thirty-eight million, five hundred seven thousand, three hundred twenty".