145223040 has 128 divisors (see below), whose sum is σ = 473932800. Its totient is φ = 37804032.

The previous prime is 145223017. The next prime is 145223041. The reversal of 145223040 is 40322541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 145222998 and 145223016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145223041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81681 + ... + 83439.

It is an arithmetic number, because the mean of its divisors is an integer number (3702600).

Almost surely, 2^145223040 is an apocalyptic number.

145223040 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 145223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236966400).

145223040 is an abundant number, since it is smaller than the sum of its proper divisors (328709760).

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

145223040 is a wasteful number, since it uses less digits than its factorization.

145223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 145223040 is about 12050.8522520194. The cubic root of 145223040 is about 525.6280194214.

Adding to 145223040 its reverse (40322541), we get a palindrome (185545581).

The spelling of 145223040 in words is "one hundred forty-five million, two hundred twenty-three thousand, forty".