161225152240 has 80 divisors (see below), whose sum is σ = 377568262656. Its totient is φ = 64022688000.

The previous prime is 161225152201. The next prime is 161225152259. The reversal of 161225152240 is 42251522161.

161225152240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×161225152240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25739349 + ... + 25745611.

Almost surely, 2^161225152240 is an apocalyptic number.

161225152240 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 161225152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188784131328).

161225152240 is an abundant number, since it is smaller than the sum of its proper divisors (216343110416).

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

161225152240 is a wasteful number, since it uses less digits than its factorization.

161225152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558 (or 8552 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 161225152240 in words is "one hundred sixty-one billion, two hundred twenty-five million, one hundred fifty-two thousand, two hundred forty".