145051113312 has 768 divisors, whose sum is σ = 535262515200. Its totient is φ = 37298257920.

The previous prime is 145051113307. The next prime is 145051113313. The reversal of 145051113312 is 213311150541.

145051113312 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 511 + 133 + 12 = 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 (145051113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165394218 + ... + 165395094.

It is an arithmetic number, because the mean of its divisors is an integer number (696956400).

Almost surely, 2^145051113312 is an apocalyptic number.

145051113312 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 145051113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267631257600).

145051113312 is an abundant number, since it is smaller than the sum of its proper divisors (390211401888).

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

145051113312 is a wasteful number, since it uses less digits than its factorization.

145051113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 145051113312 its reverse (213311150541), we get a palindrome (358362263853).

The spelling of 145051113312 in words is "one hundred forty-five billion, fifty-one million, one hundred thirteen thousand, three hundred twelve".