145403327120 has 20 divisors (see below), whose sum is σ = 338062735740. Its totient is φ = 58161330816.

The previous prime is 145403327081. The next prime is 145403327213. The reversal of 145403327120 is 21723304541.

It can be written as a sum of positive squares in 2 ways, for example, as 56341668496 + 89061658624 = 237364^2 + 298432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×145403327120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 908770715 + ... + 908770874.

It is an arithmetic number, because the mean of its divisors is an integer number (16903136787).

Almost surely, 2^145403327120 is an apocalyptic number.

145403327120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145403327120 is an abundant number, since it is smaller than the sum of its proper divisors (192659408620).

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

145403327120 is a wasteful number, since it uses less digits than its factorization.

145403327120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817541602 (or 1817541596 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 145403327120 in words is "one hundred forty-five billion, four hundred three million, three hundred twenty-seven thousand, one hundred twenty".