161536225000 has 96 divisors (see below), whose sum is σ = 383766609240. Its totient is φ = 63728640000.

The previous prime is 161536224991. The next prime is 161536225009. The reversal of 161536225000 is 522635161.

It is an interprime number because it is at equal distance from previous prime (161536224991) and next prime (161536225009).

It can be written as a sum of positive squares in 12 ways, for example, as 38992821156 + 122543403844 = 197466^2 + 350062^2 .

It is not an unprimeable number, because it can be changed into a prime (161536225009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1780744 + ... + 1869256.

Almost surely, 2^161536225000 is an apocalyptic number.

161536225000 is a gapful number since it is divisible by the number (10) 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 161536225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191883304620).

161536225000 is an abundant number, since it is smaller than the sum of its proper divisors (222230384240).

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

161536225000 is an frugal number, since it uses more digits than its factorization.

161536225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88617 (or 88593 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 161536225000 in words is "one hundred sixty-one billion, five hundred thirty-six million, two hundred twenty-five thousand".