146356224 has 192 divisors, whose sum is σ = 462309120. Its totient is φ = 40304640.

The previous prime is 146356211. The next prime is 146356229. The reversal of 146356224 is 422653641.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146356229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763287 + ... + 1763369.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^146356224 is an apocalyptic number.

146356224 is a gapful number since it is divisible by the number (14) 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 146356224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

146356224 is an abundant number, since it is smaller than the sum of its proper divisors (315952896).

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

146356224 is an equidigital number, since it uses as much as digits as its factorization.

146356224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 146356224 is about 12097.7776471549. Note that the first 3 decimals coincide. The cubic root of 146356224 is about 526.9916476010.

The spelling of 146356224 in words is "one hundred forty-six million, three hundred fifty-six thousand, two hundred twenty-four".