162072133561 has 8 divisors (see below), whose sum is σ = 174714299144. Its totient is φ = 149454979200.

The previous prime is 162072133543. The next prime is 162072133577. The reversal of 162072133561 is 165331270261.

It can be written as a sum of positive squares in 4 ways, for example, as 42066010000 + 120006123561 = 205100^2 + 346419^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 162072133561 - 2²⁷ = 161937915833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 162072133561.

It is not an unprimeable number, because it can be changed into a prime (162072133501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6239340 + ... + 6265261.

It is an arithmetic number, because the mean of its divisors is an integer number (21839287393).

Almost surely, 2^162072133561 is an apocalyptic number.

It is an amenable number.

162072133561 is a deficient number, since it is larger than the sum of its proper divisors (12642165583).

162072133561 is a wasteful number, since it uses less digits than its factorization.

162072133561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505611.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 162072133561 in words is "one hundred sixty-two billion, seventy-two million, one hundred thirty-three thousand, five hundred sixty-one".