146653344 has 72 divisors (see below), whose sum is σ = 421031520. Its totient is φ = 48417408.

The previous prime is 146653337. The next prime is 146653363. The reversal of 146653344 is 443356641.

146653344 is digitally balanced in base 3, 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 junction number, because it is equal to n+sod(n) for n = 146653299 and 146653308.

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 11 ways as a sum of consecutive naturals, for example, 28437 + ... + 33195.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2^146653344 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 146653344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210515760).

146653344 is an abundant number, since it is smaller than the sum of its proper divisors (274378176).

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

146653344 is a wasteful number, since it uses less digits than its factorization.

146653344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4871 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 146653344 is about 12110.0513624014. The cubic root of 146653344 is about 527.3480244717.

146653344 divided by its sum of digits (36) gives a palindrome (4073704).

The spelling of 146653344 in words is "one hundred forty-six million, six hundred fifty-three thousand, three hundred forty-four".