151981360128 has 308 divisors, whose sum is σ = 490583864428. Its totient is φ = 46760509440.

The previous prime is 151981360093. The next prime is 151981360169. The reversal of 151981360128 is 821063189151.

151981360128 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 8 + 13 + 601 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98365031424 + 53616328704 = 313632^2 + 231552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9696618 + ... + 9712278.

Almost surely, 2^151981360128 is an apocalyptic number.

151981360128 is a gapful number since it is divisible by the number (18) 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 151981360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245291932214).

151981360128 is an abundant number, since it is smaller than the sum of its proper divisors (338602504300).

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

151981360128 is an equidigital number, since it uses as much as digits as its factorization.

151981360128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15712 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 151981360128 in words is "one hundred fifty-one billion, nine hundred eighty-one million, three hundred sixty thousand, one hundred twenty-eight".