1382125248 has 224 divisors, whose sum is σ = 4678801920. Its totient is φ = 391910400.

The previous prime is 1382125219. The next prime is 1382125249. The reversal of 1382125248 is 8425212831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×1382125248³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1382125249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1971298 + ... + 1971998.

Almost surely, 2^1382125248 is an apocalyptic number.

1382125248 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 1382125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339400960).

1382125248 is an abundant number, since it is smaller than the sum of its proper divisors (3296676672).

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

1382125248 is a wasteful number, since it uses less digits than its factorization.

1382125248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 876 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1382125248 is about 37176.9451138740. The cubic root of 1382125248 is about 1113.9075139147.

The spelling of 1382125248 in words is "one billion, three hundred eighty-two million, one hundred twenty-five thousand, two hundred forty-eight".