145233120 has 96 divisors (see below), whose sum is σ = 459188352. Its totient is φ = 38584832.

The previous prime is 145233097. The next prime is 145233157. The reversal of 145233120 is 21332541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212299 + ... + 212981.

It is an arithmetic number, because the mean of its divisors is an integer number (4783212).

Almost surely, 2^145233120 is an apocalyptic number.

145233120 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 145233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229594176).

145233120 is an abundant number, since it is smaller than the sum of its proper divisors (313955232).

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

145233120 is a wasteful number, since it uses less digits than its factorization.

145233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 145233120 is about 12051.2704724440. The cubic root of 145233120 is about 525.6401805033.

Adding to 145233120 its reverse (21332541), we get a palindrome (166565661).

The spelling of 145233120 in words is "one hundred forty-five million, two hundred thirty-three thousand, one hundred twenty".