145413422112 has 384 divisors, whose sum is σ = 469025980416. Its totient is φ = 38568960000.

The previous prime is 145413422111. The next prime is 145413422159. The reversal of 145413422112 is 211224314541.

It is a super-2 number, since 2×145413422112² (a number of 23 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 145413422112.

It is not an unprimeable number, because it can be changed into a prime (145413422111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52099437 + ... + 52102227.

It is an arithmetic number, because the mean of its divisors is an integer number (1221421824).

Almost surely, 2^145413422112 is an apocalyptic number.

145413422112 is a gapful number since it is divisible by the number (12) 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 145413422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234512990208).

145413422112 is an abundant number, since it is smaller than the sum of its proper divisors (323612558304).

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

145413422112 is a wasteful number, since it uses less digits than its factorization.

145413422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2936 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 145413422112 its reverse (211224314541), we get a palindrome (356637736653).

The spelling of 145413422112 in words is "one hundred forty-five billion, four hundred thirteen million, four hundred twenty-two thousand, one hundred twelve".