350113152 has 128 divisors (see below), whose sum is σ = 1000742400. Its totient is φ = 108103680.

The previous prime is 350113121. The next prime is 350113193. The reversal of 350113152 is 251311053.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 342402 + ... + 343422.

It is an arithmetic number, because the mean of its divisors is an integer number (7818300).

Almost surely, 2^350113152 is an apocalyptic number.

350113152 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 350113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500371200).

350113152 is an abundant number, since it is smaller than the sum of its proper divisors (650629248).

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

350113152 is a wasteful number, since it uses less digits than its factorization.

350113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 350113152 is about 18711.3108038961. The cubic root of 350113152 is about 704.8058093997.

It can be divided in two parts, 3501 and 13152, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 350113152 in words is "three hundred fifty million, one hundred thirteen thousand, one hundred fifty-two".