145704528672 has 48 divisors (see below), whose sum is σ = 391803041952. Its totient is φ = 47383585280.

The previous prime is 145704528643. The next prime is 145704528677. The reversal of 145704528672 is 276825407541.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (145704528677) 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 7 ways as a sum of consecutive naturals, for example, 18505278 + ... + 18513149.

It is an arithmetic number, because the mean of its divisors is an integer number (8162563374).

Almost surely, 2^145704528672 is an apocalyptic number.

145704528672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145704528672 is an abundant number, since it is smaller than the sum of its proper divisors (246098513280).

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

145704528672 is a wasteful number, since it uses less digits than its factorization.

145704528672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37018481 (or 37018473 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 145704528672 in words is "one hundred forty-five billion, seven hundred four million, five hundred twenty-eight thousand, six hundred seventy-two".