146354816 has 32 divisors (see below), whose sum is σ = 292898100. Its totient is φ = 72843264.

The previous prime is 146354809. The next prime is 146354827. The reversal of 146354816 is 618453641.

It can be written as a sum of positive squares in 2 ways, for example, as 141514816 + 4840000 = 11896^2 + 2200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 146354816.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26816 + ... + 31808.

Almost surely, 2^146354816 is an apocalyptic number.

146354816 is a gapful number since it is divisible by the number (16) 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 146354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146449050).

146354816 is an abundant number, since it is smaller than the sum of its proper divisors (146543284).

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

146354816 is an equidigital number, since it uses as much as digits as its factorization.

146354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5224 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 146354816 is about 12097.7194545088. The cubic root of 146354816 is about 526.9899576452.

The spelling of 146354816 in words is "one hundred forty-six million, three hundred fifty-four thousand, eight hundred sixteen".