1382253120 has 224 divisors, whose sum is σ = 4912156800. Its totient is φ = 365893632.

The previous prime is 1382253109. The next prime is 1382253133. The reversal of 1382253120 is 213522831.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1355971 + ... + 1356989.

Almost surely, 2^1382253120 is an apocalyptic number.

1382253120 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 1382253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456078400).

1382253120 is an abundant number, since it is smaller than the sum of its proper divisors (3529903680).

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

1382253120 is a wasteful number, since it uses less digits than its factorization.

1382253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1382253120 is about 37178.6648496150. The cubic root of 1382253120 is about 1113.9418651646.

Adding to 1382253120 its reverse (213522831), we get a palindrome (1595775951).

The spelling of 1382253120 in words is "one billion, three hundred eighty-two million, two hundred fifty-three thousand, one hundred twenty".