151085444328 has 144 divisors (see below), whose sum is σ = 506385565920. Its totient is φ = 39846688128.

The previous prime is 151085444327. The next prime is 151085444339. The reversal of 151085444328 is 823444580151.

151085444328 is a `hidden beast` number, since 151 + 0 + 8 + 54 + 443 + 2 + 8 = 666.

151085444328 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 2×151085444328² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (151085444327) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 801726 + ... + 972077.

It is an arithmetic number, because the mean of its divisors is an integer number (3516566430).

Almost surely, 2^151085444328 is an apocalyptic number.

151085444328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

151085444328 is an abundant number, since it is smaller than the sum of its proper divisors (355300121592).

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

151085444328 is a wasteful number, since it uses less digits than its factorization.

151085444328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773848 (or 1773828 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 151085444328 in words is "one hundred fifty-one billion, eighty-five million, four hundred forty-four thousand, three hundred twenty-eight".