146746368 has 66 divisors (see below), whose sum is σ = 423753564. Its totient is φ = 48912384.

The previous prime is 146746357. The next prime is 146746399. The reversal of 146746368 is 863647641.

It is a happy number.

146746368 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 4 + 636 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1255 + ... + 17177.

Almost surely, 2^146746368 is an apocalyptic number.

146746368 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 146746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211876782).

146746368 is an abundant number, since it is smaller than the sum of its proper divisors (277007196).

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

146746368 is a wasteful number, since it uses less digits than its factorization.

146746368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15949 (or 15928 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 146746368 is about 12113.8915299750. The cubic root of 146746368 is about 527.4595019934.

The spelling of 146746368 in words is "one hundred forty-six million, seven hundred forty-six thousand, three hundred sixty-eight".