146453120 has 128 divisors (see below), whose sum is σ = 388644480. Its totient is φ = 52326400.

The previous prime is 146453119. The next prime is 146453129. The reversal of 146453120 is 21354641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 146453120.

It is not an unprimeable number, because it can be changed into a prime (146453129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 499694 + ... + 499986.

It is an arithmetic number, because the mean of its divisors is an integer number (3036285).

Almost surely, 2^146453120 is an apocalyptic number.

146453120 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 146453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194322240).

146453120 is an abundant number, since it is smaller than the sum of its proper divisors (242191360).

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

146453120 is a wasteful number, since it uses less digits than its factorization.

146453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 146453120 is about 12101.7816870079. The cubic root of 146453120 is about 527.1079212528.

The spelling of 146453120 in words is "one hundred forty-six million, four hundred fifty-three thousand, one hundred twenty".