146821248 has 360 divisors, whose sum is σ = 539931645. Its totient is φ = 39481344.

The previous prime is 146821243. The next prime is 146821261. The reversal of 146821248 is 842128641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 12446784 = 11592^2 + 3528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8568.

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 not an unprimeable number, because it can be changed into a prime (146821243) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8636536 + ... + 8636552.

Almost surely, 2^146821248 is an apocalyptic number.

146821248 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 146821248

146821248 is an abundant number, since it is smaller than the sum of its proper divisors (393110397).

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

146821248 is an equidigital number, since it uses as much as digits as its factorization.

146821248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 146821248 is about 12116.9818024127. The cubic root of 146821248 is about 527.5492020022.

Adding to 146821248 its reverse (842128641), we get a palindrome (988949889).

The spelling of 146821248 in words is "one hundred forty-six million, eight hundred twenty-one thousand, two hundred forty-eight".