151918068371328 has 864 divisors, whose sum is σ = 545104216612800. Its totient is φ = 42004643143680.

The previous prime is 151918068371317. The next prime is 151918068371351. The reversal of 151918068371328 is 823173860819151.

It is a happy number.

151918068371328 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 180 + 68 + 3 + 71 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1275608808 + ... + 1275727896.

Almost surely, 2^{151918068371328} is an apocalyptic number.

151918068371328 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 151918068371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272552108306400).

151918068371328 is an abundant number, since it is smaller than the sum of its proper divisors (393186148241472).

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

151918068371328 is an frugal number, since it uses more digits than its factorization.

151918068371328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119172 (or 119132 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 151918068371328 in words is "one hundred fifty-one trillion, nine hundred eighteen billion, sixty-eight million, three hundred seventy-one thousand, three hundred twenty-eight".