1382105088 has 360 divisors, whose sum is σ = 4961710208. Its totient is φ = 360972288.

The previous prime is 1382105063. The next prime is 1382105089. The reversal of 1382105088 is 8805012831.

1382105088 is a `hidden beast` number, since 138 + 2 + 10 + 508 + 8 = 666.

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 (1382105089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13418445 + ... + 13418547.

Almost surely, 2^1382105088 is an apocalyptic number.

1382105088 is a gapful number since it is divisible by the number (18) 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 1382105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480855104).

1382105088 is an abundant number, since it is smaller than the sum of its proper divisors (3579605120).

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

1382105088 is a wasteful number, since it uses less digits than its factorization.

1382105088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1382105088 is about 37176.6739771056. The cubic root of 1382105088 is about 1113.9020979838.

The spelling of 1382105088 in words is "one billion, three hundred eighty-two million, one hundred five thousand, eighty-eight".