151164565334720 has 1008 divisors, whose sum is σ = 445227492368736. Its totient is φ = 48712082227200.

The previous prime is 151164565334719. The next prime is 151164565334737. The reversal of 151164565334720 is 27433565461151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 189666957362 + ... + 189666958158.

It is an arithmetic number, because the mean of its divisors is an integer number (441693940842).

Almost surely, 2^{151164565334720} is an apocalyptic number.

151164565334720 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 151164565334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222613746184368).

151164565334720 is an abundant number, since it is smaller than the sum of its proper divisors (294062927034016).

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

151164565334720 is a wasteful number, since it uses less digits than its factorization.

151164565334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 53.

The spelling of 151164565334720 in words is "one hundred fifty-one trillion, one hundred sixty-four billion, five hundred sixty-five million, three hundred thirty-four thousand, seven hundred twenty".