145304312325000 has 192 divisors, whose sum is σ = 455479314333120. Its totient is φ = 38625577440000.

The previous prime is 145304312324957. The next prime is 145304312325037. The reversal of 145304312325000 is 523213403541.

It is a super-2 number, since 2×145304312325000² (a number of 29 digits) contains 22 as substring.

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, 20719179 + ... + 26830821.

It is an arithmetic number, because the mean of its divisors is an integer number (2372288095485).

Almost surely, 2^{145304312325000} is an apocalyptic number.

145304312325000 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 145304312325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227739657166560).

145304312325000 is an abundant number, since it is smaller than the sum of its proper divisors (310175002008120).

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

145304312325000 is an equidigital number, since it uses as much as digits as its factorization.

145304312325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111994 (or 6111970 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 145304312325000 its reverse (523213403541), we get a palindrome (145827525728541).

The spelling of 145304312325000 in words is "one hundred forty-five trillion, three hundred four billion, three hundred twelve million, three hundred twenty-five thousand".