1382548500 has 168 divisors, whose sum is σ = 4528351464. Its totient is φ = 368582400.

The previous prime is 1382548483. The next prime is 1382548507. The reversal of 1382548500 is 58452831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 195608196 + 1186940304 = 13986^2 + 34452^2 .

It is a super-2 number, since 2×1382548500² = 3822880709704500000, which contains 22 as substring.

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 (1382548507) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 362604 + ... + 366396.

It is an arithmetic number, because the mean of its divisors is an integer number (26954473).

Almost surely, 2^1382548500 is an apocalyptic number.

1382548500 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 1382548500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264175732).

1382548500 is an abundant number, since it is smaller than the sum of its proper divisors (3145802964).

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

1382548500 is an equidigital number, since it uses as much as digits as its factorization.

1382548500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1382548500 is about 37182.6370770014. The cubic root of 1382548500 is about 1114.0212072929.

The spelling of 1382548500 in words is "one billion, three hundred eighty-two million, five hundred forty-eight thousand, five hundred".