145725613704 has 256 divisors, whose sum is σ = 468612864000. Its totient is φ = 41522469120.

The previous prime is 145725613687. The next prime is 145725613729. The reversal of 145725613704 is 407316527541.

145725613704 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 25 + 613 + 7 + 0 + 4 = 666.

145725613704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145725613704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3201634 + ... + 3246830.

It is an arithmetic number, because the mean of its divisors is an integer number (1830519000).

Almost surely, 2^145725613704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145725613704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234306432000).

145725613704 is an abundant number, since it is smaller than the sum of its proper divisors (322887250296).

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

145725613704 is a wasteful number, since it uses less digits than its factorization.

145725613704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45305 (or 45295 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 145725613704 in words is "one hundred forty-five billion, seven hundred twenty-five million, six hundred thirteen thousand, seven hundred four".