145310875806824 has 384 divisors, whose sum is σ = 370219361840640. Its totient is φ = 52130534916096.

The previous prime is 145310875806793. The next prime is 145310875806851. The reversal of 145310875806824 is 428608578013541.

It is a super-2 number, since 2×145310875806824² (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 95 ways as a sum of consecutive naturals, for example, 613025672 + ... + 613262664.

It is an arithmetic number, because the mean of its divisors is an integer number (964112921460).

Almost surely, 2^{145310875806824} is an apocalyptic number.

145310875806824 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 145310875806824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185109680920320).

145310875806824 is an abundant number, since it is smaller than the sum of its proper divisors (224908486033816).

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

145310875806824 is a wasteful number, since it uses less digits than its factorization.

145310875806824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237189 (or 237172 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 62.

The spelling of 145310875806824 in words is "one hundred forty-five trillion, three hundred ten billion, eight hundred seventy-five million, eight hundred six thousand, eight hundred twenty-four".