151059382272 has 480 divisors, whose sum is σ = 484112764800. Its totient is φ = 46374322176.

The previous prime is 151059382261. The next prime is 151059382277. The reversal of 151059382272 is 272283950151.

151059382272 is a `hidden beast` number, since 1 + 51 + 0 + 593 + 8 + 2 + 2 + 7 + 2 = 666.

151059382272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151059382277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398573379 + ... + 398573757.

It is an arithmetic number, because the mean of its divisors is an integer number (1008568260).

Almost surely, 2^151059382272 is an apocalyptic number.

151059382272 is a gapful number since it is divisible by the number (12) 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 151059382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242056382400).

151059382272 is an abundant number, since it is smaller than the sum of its proper divisors (333053382528).

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

151059382272 is an equidigital number, since it uses as much as digits as its factorization.

151059382272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 151059382272 in words is "one hundred fifty-one billion, fifty-nine million, three hundred eighty-two thousand, two hundred seventy-two".