146553120 has 432 divisors, whose sum is σ = 609493248. Its totient is φ = 31933440.

The previous prime is 146553103. The next prime is 146553139. The reversal of 146553120 is 21355641.

146553120 is a `hidden beast` number, since 1 + 4 + 655 + 3 + 1 + 2 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 2187327 + ... + 2187393.

It is an arithmetic number, because the mean of its divisors is an integer number (1410864).

Almost surely, 2^146553120 is an apocalyptic number.

146553120 is a gapful number since it is divisible by the number (10) 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 146553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304746624).

146553120 is an abundant number, since it is smaller than the sum of its proper divisors (462940128).

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

146553120 is a wasteful number, since it uses less digits than its factorization.

146553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 146553120 is about 12105.9126050042. The cubic root of 146553120 is about 527.2278658910.

The spelling of 146553120 in words is "one hundred forty-six million, five hundred fifty-three thousand, one hundred twenty".