145255106304 has 864 divisors, whose sum is σ = 553099205120. Its totient is φ = 36787322880.

The previous prime is 145255106291. The next prime is 145255106309. The reversal of 145255106304 is 403601552541.

145255106304 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 5 + 5 + 10 + 630 + 4 = 666.

145255106304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145255106309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251741664 + ... + 251742240.

Almost surely, 2^145255106304 is an apocalyptic number.

145255106304 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 145255106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276549602560).

145255106304 is an abundant number, since it is smaller than the sum of its proper divisors (407844098816).

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

145255106304 is a wasteful number, since it uses less digits than its factorization.

145255106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 145255106304 its reverse (403601552541), we get a palindrome (548856658845).

The spelling of 145255106304 in words is "one hundred forty-five billion, two hundred fifty-five million, one hundred six thousand, three hundred four".