335105152 has 64 divisors (see below), whose sum is σ = 691284600. Its totient is φ = 161685504.

The previous prime is 335105137. The next prime is 335105171. The reversal of 335105152 is 251501533.

It can be written as a sum of positive squares in 4 ways, for example, as 302203456 + 32901696 = 17384^2 + 5736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×335105152² = 224590925793886208, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 819124 + ... + 819532.

Almost surely, 2^335105152 is an apocalyptic number.

335105152 is a gapful number since it is divisible by the number (32) 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 335105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345642300).

335105152 is an abundant number, since it is smaller than the sum of its proper divisors (356179448).

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

335105152 is a wasteful number, since it uses less digits than its factorization.

335105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 335105152 is about 18305.8775260843. The cubic root of 335105152 is about 694.5876145067.

Adding to 335105152 its reverse (251501533), we get a palindrome (586606685).

The spelling of 335105152 in words is "three hundred thirty-five million, one hundred five thousand, one hundred fifty-two".