151804458440256 has 224 divisors, whose sum is σ = 413520964940160. Its totient is φ = 49112646451200.

The previous prime is 151804458440251. The next prime is 151804458440269. The reversal of 151804458440256 is 652044854408151.

It is a super-2 number, since 2×151804458440256² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151804458440196 and 151804458440205.

It is not an unprimeable number, because it can be changed into a prime (151804458440251) 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 31 ways as a sum of consecutive naturals, for example, 21807848616 + ... + 21807855576.

It is an arithmetic number, because the mean of its divisors is an integer number (1846075736340).

Almost surely, 2^{151804458440256} is an apocalyptic number.

151804458440256 is a gapful number since it is divisible by the number (16) 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 151804458440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206760482470080).

151804458440256 is an abundant number, since it is smaller than the sum of its proper divisors (261716506499904).

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

151804458440256 is a wasteful number, since it uses less digits than its factorization.

151804458440256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133 (or 14123 counting only the distinct ones).

The product of its (nonzero) digits is 24576000, while the sum is 57.

The spelling of 151804458440256 in words is "one hundred fifty-one trillion, eight hundred four billion, four hundred fifty-eight million, four hundred forty thousand, two hundred fifty-six".