145346225024 has 1024 divisors, whose sum is σ = 440085381120. Its totient is φ = 45984153600.

The previous prime is 145346224999. The next prime is 145346225029. The reversal of 145346225024 is 420522643541.

145346225024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145346225024² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145346225029) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3380144747 + ... + 3380144789.

It is an arithmetic number, because the mean of its divisors is an integer number (429770880).

Almost surely, 2^145346225024 is an apocalyptic number.

145346225024 is a gapful number since it is divisible by the number (14) 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 145346225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220042690560).

145346225024 is an abundant number, since it is smaller than the sum of its proper divisors (294739156096).

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

145346225024 is a wasteful number, since it uses less digits than its factorization.

145346225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 145346225024 its reverse (420522643541), we get a palindrome (565868868565).

The spelling of 145346225024 in words is "one hundred forty-five billion, three hundred forty-six million, two hundred twenty-five thousand, twenty-four".