145285043904 has 1344 divisors, whose sum is σ = 595428019200. Its totient is φ = 34342963200.

The previous prime is 145285043887. The next prime is 145285043923. The reversal of 145285043904 is 409340582541.

145285043904 is a `hidden beast` number, since 1 + 4 + 52 + 8 + 504 + 3 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×145285043904² (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 145285043904.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2046268189 + ... + 2046268259.

It is an arithmetic number, because the mean of its divisors is an integer number (443026800).

Almost surely, 2^145285043904 is an apocalyptic number.

145285043904 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 145285043904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297714009600).

145285043904 is an abundant number, since it is smaller than the sum of its proper divisors (450142975296).

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

145285043904 is a wasteful number, since it uses less digits than its factorization.

145285043904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 145285043904 in words is "one hundred forty-five billion, two hundred eighty-five million, forty-three thousand, nine hundred four".