160145530272 has 756 divisors, whose sum is σ = 596162630070. Its totient is φ = 42185235456.

The previous prime is 160145530267. The next prime is 160145530301. The reversal of 160145530272 is 272035541061.

160145530272 is a `hidden beast` number, since 1 + 60 + 1 + 45 + 530 + 27 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 86485399056 + 73660131216 = 294084^2 + 271404^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×160145530272² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 193178754 + ... + 193179582.

Almost surely, 2^160145530272 is an apocalyptic number.

160145530272 is a gapful number since it is divisible by the number (12) 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 160145530272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298081315035).

160145530272 is an abundant number, since it is smaller than the sum of its proper divisors (436017099798).

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

160145530272 is an equidigital number, since it uses as much as digits as its factorization.

160145530272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 160145530272 in words is "one hundred sixty billion, one hundred forty-five million, five hundred thirty thousand, two hundred seventy-two".