1382138100 has 432 divisors, whose sum is σ = 5351324160. Its totient is φ = 304819200.

The previous prime is 1382138099. The next prime is 1382138111. The reversal of 1382138100 is 18312831.

It is a super-2 number, since 2×1382138100² = 3820611454943220000, which contains 22 as substring.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 4101132 + ... + 4101468.

Almost surely, 2^1382138100 is an apocalyptic number.

1382138100 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 1382138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675662080).

1382138100 is an abundant number, since it is smaller than the sum of its proper divisors (3969186060).

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

1382138100 is a wasteful number, since it uses less digits than its factorization.

1382138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1382138100 is about 37177.1179625317. The cubic root of 1382138100 is about 1113.9109665432.

The spelling of 1382138100 in words is "one billion, three hundred eighty-two million, one hundred thirty-eight thousand, one hundred".