146532816 has 120 divisors (see below), whose sum is σ = 432222336. Its totient is φ = 46252800.

The previous prime is 146532791. The next prime is 146532823. The reversal of 146532816 is 618235641.

It is a happy number.

146532816 is a `hidden beast` number, since 1 + 46 + 532 + 81 + 6 = 666.

146532816 is nontrivially palindromic in base 7.

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 23 ways as a sum of consecutive naturals, for example, 499966 + ... + 500258.

Almost surely, 2^146532816 is an apocalyptic number.

146532816 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 146532816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168).

146532816 is an abundant number, since it is smaller than the sum of its proper divisors (285689520).

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

146532816 is a wasteful number, since it uses less digits than its factorization.

146532816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 146532816 is about 12105.0739774691. The cubic root of 146532816 is about 527.2035167472.

The spelling of 146532816 in words is "one hundred forty-six million, five hundred thirty-two thousand, eight hundred sixteen".