146481920 has 72 divisors (see below), whose sum is σ = 377902896. Its totient is φ = 54079488.

The previous prime is 146481919. The next prime is 146481941. The reversal of 146481920 is 29184641.

It is a happy number.

146481920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12239 + ... + 21041.

Almost surely, 2^146481920 is an apocalyptic number.

146481920 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 146481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188951448).

146481920 is an abundant number, since it is smaller than the sum of its proper divisors (231420976).

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

146481920 is an equidigital number, since it uses as much as digits as its factorization.

146481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 146481920 is about 12102.9715359493. The cubic root of 146481920 is about 527.1424709051.

The spelling of 146481920 in words is "one hundred forty-six million, four hundred eighty-one thousand, nine hundred twenty".