145022592 has 256 divisors, whose sum is σ = 479808000. Its totient is φ = 38154240.

The previous prime is 145022587. The next prime is 145022593. The reversal of 145022592 is 295220541.

145022592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145022593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043259 + ... + 1043397.

It is an arithmetic number, because the mean of its divisors is an integer number (1874250).

Almost surely, 2^145022592 is an apocalyptic number.

145022592 is a gapful number since it is divisible by the number (12) 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 145022592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904000).

145022592 is an abundant number, since it is smaller than the sum of its proper divisors (334785408).

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

145022592 is a wasteful number, since it uses less digits than its factorization.

145022592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 145022592 is about 12042.5326239957. The cubic root of 145022592 is about 525.3860706731.

It can be divided in two parts, 1450 and 22592, that added together give a palindrome (24042).

The spelling of 145022592 in words is "one hundred forty-five million, twenty-two thousand, five hundred ninety-two".