151934223168 has 756 divisors, whose sum is σ = 559839155148. Its totient is φ = 39249100800.

The previous prime is 151934223107. The next prime is 151934223173. The reversal of 151934223168 is 861322439151.

151934223168 is a `hidden beast` number, since 1 + 5 + 19 + 342 + 231 + 68 = 666.

151934223168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1197713664 + 150736509504 = 34608^2 + 388248^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 252802068 + ... + 252802668.

It is an arithmetic number, because the mean of its divisors is an integer number (740527983).

Almost surely, 2^151934223168 is an apocalyptic number.

151934223168 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 151934223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279919577574).

151934223168 is an abundant number, since it is smaller than the sum of its proper divisors (407904931980).

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

151934223168 is a wasteful number, since it uses less digits than its factorization.

151934223168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 679 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 151934223168 in words is "one hundred fifty-one billion, nine hundred thirty-four million, two hundred twenty-three thousand, one hundred sixty-eight".