151044382720 has 448 divisors, whose sum is σ = 458166191616. Its totient is φ = 46430945280.

The previous prime is 151044382717. The next prime is 151044382729. The reversal of 151044382720 is 27283440151.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 151044382720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151044382729) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 261775072 + ... + 261775648.

It is an arithmetic number, because the mean of its divisors is an integer number (1022692392).

Almost surely, 2^151044382720 is an apocalyptic number.

151044382720 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 151044382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229083095808).

151044382720 is an abundant number, since it is smaller than the sum of its proper divisors (307121808896).

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

151044382720 is an equidigital number, since it uses as much as digits as its factorization.

151044382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 151044382720 in words is "one hundred fifty-one billion, forty-four million, three hundred eighty-two thousand, seven hundred twenty".