1138156160 has 64 divisors (see below), whose sum is σ = 2755468800. Its totient is φ = 449479680.

The previous prime is 1138156147. The next prime is 1138156189. The reversal of 1138156160 is 616518311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39305 + ... + 61815.

It is an arithmetic number, because the mean of its divisors is an integer number (43054200).

Almost surely, 2^1138156160 is an apocalyptic number.

1138156160 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 1138156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377734400).

1138156160 is an abundant number, since it is smaller than the sum of its proper divisors (1617312640).

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

1138156160 is an equidigital number, since it uses as much as digits as its factorization.

1138156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22609 (or 22597 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 1138156160 is about 33736.5700686955. The cubic root of 1138156160 is about 1044.0804193225.

The spelling of 1138156160 in words is "one billion, one hundred thirty-eight million, one hundred fifty-six thousand, one hundred sixty".