146403936 has 120 divisors (see below), whose sum is σ = 492140880. Its totient is φ = 41824512.

The previous prime is 146403893. The next prime is 146403937. The reversal of 146403936 is 639304641.

146403936 is a `hidden beast` number, since 1 + 4 + 640 + 3 + 9 + 3 + 6 = 666.

It is a super-2 number, since 2×146403936² = 42868224952584192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146403936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146403937) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 14110 + ... + 22178.

It is an arithmetic number, because the mean of its divisors is an integer number (4101174).

Almost surely, 2^146403936 is an apocalyptic number.

146403936 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 146403936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246070440).

146403936 is an abundant number, since it is smaller than the sum of its proper divisors (345736944).

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

146403936 is an equidigital number, since it uses as much as digits as its factorization.

146403936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 8081 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 146403936 is about 12099.7494188929. The cubic root of 146403936 is about 527.0489076500.

The spelling of 146403936 in words is "one hundred forty-six million, four hundred three thousand, nine hundred thirty-six".