1138485120 has 128 divisors (see below), whose sum is σ = 3666932640. Its totient is φ = 300417024.

The previous prime is 1138485109. The next prime is 1138485143. The reversal of 1138485120 is 215848311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1138485120² = 2592296736922828800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183184 + ... + 189296.

Almost surely, 2^1138485120 is an apocalyptic number.

1138485120 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 1138485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833466320).

1138485120 is an abundant number, since it is smaller than the sum of its proper divisors (2528447520).

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

1138485120 is an equidigital number, since it uses as much as digits as its factorization.

1138485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1138485120 is about 33741.4451379902. The cubic root of 1138485120 is about 1044.1809994309.

The spelling of 1138485120 in words is "one billion, one hundred thirty-eight million, four hundred eighty-five thousand, one hundred twenty".