145303200 has 432 divisors, whose sum is σ = 620585280. Its totient is φ = 32140800.

The previous prime is 145303189. The next prime is 145303229. The reversal of 145303200 is 2303541.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×145303200² = 42226039860480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4687185 + ... + 4687215.

It is an arithmetic number, because the mean of its divisors is an integer number (1436540).

Almost surely, 2^145303200 is an apocalyptic number.

145303200 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 145303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310292640).

145303200 is an abundant number, since it is smaller than the sum of its proper divisors (475282080).

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

145303200 is a wasteful number, since it uses less digits than its factorization.

145303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 145303200 is about 12054.1776990386. The cubic root of 145303200 is about 525.7247134263.

Adding to 145303200 its reverse (2303541), we get a palindrome (147606741).

The spelling of 145303200 in words is "one hundred forty-five million, three hundred three thousand, two hundred".