145314410120000 has 280 divisors, whose sum is σ = 401453685198720. Its totient is φ = 51717306880000.

The previous prime is 145314410119993. The next prime is 145314410120021. The reversal of 145314410120000 is 21014413541.

It is a super-2 number, since 2×145314410120000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17166596 + ... + 24193404.

It is an arithmetic number, because the mean of its divisors is an integer number (1433763161424).

Almost surely, 2^{145314410120000} is an apocalyptic number.

145314410120000 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 145314410120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200726842599360).

145314410120000 is an abundant number, since it is smaller than the sum of its proper divisors (256139275078720).

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

145314410120000 is an equidigital number, since it uses as much as digits as its factorization.

145314410120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026899 (or 7026874 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 145314410120000 its reverse (21014413541), we get a palindrome (145335424533541).

The spelling of 145314410120000 in words is "one hundred forty-five trillion, three hundred fourteen billion, four hundred ten million, one hundred twenty thousand".