163138248 has 144 divisors (see below), whose sum is σ = 553660380. Its totient is φ = 43013376.

The previous prime is 163138207. The next prime is 163138271. The reversal of 163138248 is 842831361.

163138248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 137311524 + 25826724 = 11718^2 + 5082^2 .

It is a super-2 number, since 2×163138248² = 53228175921019008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 44086 + ... + 47642.

Almost surely, 2^163138248 is an apocalyptic number.

163138248 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 163138248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276830190).

163138248 is an abundant number, since it is smaller than the sum of its proper divisors (390522132).

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

163138248 is a wasteful number, since it uses less digits than its factorization.

163138248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3582 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 163138248 is about 12772.5583968131. The cubic root of 163138248 is about 546.4099485351.

The spelling of 163138248 in words is "one hundred sixty-three million, one hundred thirty-eight thousand, two hundred forty-eight".