145104422112 has 576 divisors, whose sum is σ = 486689817600. Its totient is φ = 41923215360.

The previous prime is 145104422087. The next prime is 145104422117. The reversal of 145104422112 is 211224401541.

145104422112 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 0 + 442 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145104422117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 535440537 + ... + 535440807.

It is an arithmetic number, because the mean of its divisors is an integer number (844947600).

Almost surely, 2^145104422112 is an apocalyptic number.

145104422112 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 145104422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243344908800).

145104422112 is an abundant number, since it is smaller than the sum of its proper divisors (341585395488).

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

145104422112 is a wasteful number, since it uses less digits than its factorization.

145104422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 145104422112 its reverse (211224401541), we get a palindrome (356328823653).

The spelling of 145104422112 in words is "one hundred forty-five billion, one hundred four million, four hundred twenty-two thousand, one hundred twelve".