151362241744 has 80 divisors (see below), whose sum is σ = 352903146880. Its totient is φ = 61437242880.

The previous prime is 151362241739. The next prime is 151362241747. The reversal of 151362241744 is 447142263151.

It is a junction number, because it is equal to n+sod(n) for n = 151362241697 and 151362241706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151362241747) by changing a digit.

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, 9059062 + ... + 9075754.

It is an arithmetic number, because the mean of its divisors is an integer number (4411289336).

Almost surely, 2^151362241744 is an apocalyptic number.

151362241744 is a gapful number since it is divisible by the number (14) 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 151362241744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176451573440).

151362241744 is an abundant number, since it is smaller than the sum of its proper divisors (201540905136).

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

151362241744 is a wasteful number, since it uses less digits than its factorization.

151362241744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20988 (or 20982 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The spelling of 151362241744 in words is "one hundred fifty-one billion, three hundred sixty-two million, two hundred forty-one thousand, seven hundred forty-four".