151018306195328 has 192 divisors, whose sum is σ = 356771443916160. Its totient is φ = 63250517299200.

The previous prime is 151018306195313. The next prime is 151018306195333. The reversal of 151018306195328 is 823591603810151.

It is a super-2 number, since 2×151018306195328² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 151018306195328.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 111475313 + ... + 112821903.

It is an arithmetic number, because the mean of its divisors is an integer number (1858184603730).

Almost surely, 2^{151018306195328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151018306195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178385721958080).

151018306195328 is an abundant number, since it is smaller than the sum of its proper divisors (205753137720832).

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

151018306195328 is a wasteful number, since it uses less digits than its factorization.

151018306195328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347197 (or 1347174 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 53.

The spelling of 151018306195328 in words is "one hundred fifty-one trillion, eighteen billion, three hundred six million, one hundred ninety-five thousand, three hundred twenty-eight".