145324115505324 has 144 divisors (see below), whose sum is σ = 425816670988800. Its totient is φ = 40928830467840.

The previous prime is 145324115505299. The next prime is 145324115505347. The reversal of 145324115505324 is 423505511423541.

145324115505324 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 2 + 4 + 115 + 505 + 3 + 24 = 666.

It is a super-2 number, since 2×145324115505324² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145324115505324.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96748207 + ... + 98238809.

It is an arithmetic number, because the mean of its divisors is an integer number (2957060215200).

Almost surely, 2^{145324115505324} is an apocalyptic number.

145324115505324 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 145324115505324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212908335494400).

145324115505324 is an abundant number, since it is smaller than the sum of its proper divisors (280492555483476).

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

145324115505324 is a wasteful number, since it uses less digits than its factorization.

145324115505324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496140 (or 1496135 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 145324115505324 its reverse (423505511423541), we get a palindrome (568829626928865).

The spelling of 145324115505324 in words is "one hundred forty-five trillion, three hundred twenty-four billion, one hundred fifteen million, five hundred five thousand, three hundred twenty-four".