145841770108320 has 1536 divisors, whose sum is σ = 571868131000320. Its totient is φ = 30715244789760.

The previous prime is 145841770108271. The next prime is 145841770108399. The reversal of 145841770108320 is 23801077148541.

It is a super-2 number, since 2×145841770108320² (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 255 ways as a sum of consecutive naturals, for example, 225412318237 + ... + 225412318883.

It is an arithmetic number, because the mean of its divisors is an integer number (372309981120).

Almost surely, 2^{145841770108320} is an apocalyptic number.

145841770108320 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 145841770108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285934065500160).

145841770108320 is an abundant number, since it is smaller than the sum of its proper divisors (426026360892000).

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

145841770108320 is a wasteful number, since it uses less digits than its factorization.

145841770108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 145841770108320 in words is "one hundred forty-five trillion, eight hundred forty-one billion, seven hundred seventy million, one hundred eight thousand, three hundred twenty".