151304002320 has 320 divisors, whose sum is σ = 496799202816. Its totient is φ = 38041436160.

The previous prime is 151304002301. The next prime is 151304002363. The reversal of 151304002320 is 23200403151.

151304002320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151304002320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57159237 + ... + 57161883.

Almost surely, 2^151304002320 is an apocalyptic number.

151304002320 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 151304002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248399601408).

151304002320 is an abundant number, since it is smaller than the sum of its proper divisors (345495200496).

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

151304002320 is a wasteful number, since it uses less digits than its factorization.

151304002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 151304002320 its reverse (23200403151), we get a palindrome (174504405471).

The spelling of 151304002320 in words is "one hundred fifty-one billion, three hundred four million, two thousand, three hundred twenty".