146713824 has 72 divisors (see below), whose sum is σ = 430702272. Its totient is φ = 47324160.

The previous prime is 146713789. The next prime is 146713841. The reversal of 146713824 is 428317641.

146713824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712 + ... + 17144.

It is an arithmetic number, because the mean of its divisors is an integer number (5981976).

Almost surely, 2^146713824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146713824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215351136).

146713824 is an abundant number, since it is smaller than the sum of its proper divisors (283988448).

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

146713824 is a wasteful number, since it uses less digits than its factorization.

146713824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16480 (or 16469 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 146713824 is about 12112.5482042384. The cubic root of 146713824 is about 527.4205074766.

The spelling of 146713824 in words is "one hundred forty-six million, seven hundred thirteen thousand, eight hundred twenty-four".