145604942560 has 144 divisors (see below), whose sum is σ = 436531440240. Its totient is φ = 45383331840.

The previous prime is 145604942537. The next prime is 145604942573. The reversal of 145604942560 is 65249406541.

145604942560 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 145604942560.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 757945 + ... + 930424.

It is an arithmetic number, because the mean of its divisors is an integer number (3031468335).

Almost surely, 2^145604942560 is an apocalyptic number.

145604942560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145604942560 is an abundant number, since it is smaller than the sum of its proper divisors (290926497680).

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

145604942560 is a wasteful number, since it uses less digits than its factorization.

145604942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688409 (or 1688394 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 145604942560 in words is "one hundred forty-five billion, six hundred four million, nine hundred forty-two thousand, five hundred sixty".