145473120 has 288 divisors, whose sum is σ = 564127200. Its totient is φ = 33841152.

The previous prime is 145473103. The next prime is 145473161. The reversal of 145473120 is 21374541.

145473120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355476 + ... + 355884.

It is an arithmetic number, because the mean of its divisors is an integer number (1958775).

Almost surely, 2^145473120 is an apocalyptic number.

145473120 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 145473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282063600).

145473120 is an abundant number, since it is smaller than the sum of its proper divisors (418654080).

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

145473120 is a wasteful number, since it uses less digits than its factorization.

145473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 145473120 is about 12061.2238185020. The cubic root of 145473120 is about 525.9295640286.

The spelling of 145473120 in words is "one hundred forty-five million, four hundred seventy-three thousand, one hundred twenty".