145213320 has 128 divisors (see below), whose sum is σ = 527212800. Its totient is φ = 31236096.

The previous prime is 145213319. The next prime is 145213361. The reversal of 145213320 is 23312541.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9196 + ... + 19364.

It is an arithmetic number, because the mean of its divisors is an integer number (4118850).

Almost surely, 2^145213320 is an apocalyptic number.

145213320 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 145213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263606400).

145213320 is an abundant number, since it is smaller than the sum of its proper divisors (381999480).

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

145213320 is a wasteful number, since it uses less digits than its factorization.

145213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10207 (or 10203 counting only the distinct ones).

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

The square root of 145213320 is about 12050.4489542921. The cubic root of 145213320 is about 525.6162921309.

Adding to 145213320 its reverse (23312541), we get a palindrome (168525861).

The spelling of 145213320 in words is "one hundred forty-five million, two hundred thirteen thousand, three hundred twenty".