1138257360 has 200 divisors, whose sum is σ = 3974109480. Its totient is φ = 301943808.

The previous prime is 1138257331. The next prime is 1138257361. The reversal of 1138257360 is 637528311.

1138257360 is a `hidden beast` number, since 1 + 1 + 3 + 82 + 573 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7683984 + 1130573376 = 2772^2 + 33624^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138257361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1742794 + ... + 1743446.

Almost surely, 2^1138257360 is an apocalyptic number.

1138257360 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 1138257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987054740).

1138257360 is an abundant number, since it is smaller than the sum of its proper divisors (2835852120).

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

1138257360 is a wasteful number, since it uses less digits than its factorization.

1138257360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1138257360 is about 33738.0698914446. The cubic root of 1138257360 is about 1044.1113634672. Note that the first 3 decimals are identical.

The spelling of 1138257360 in words is "one billion, one hundred thirty-eight million, two hundred fifty-seven thousand, three hundred sixty".