151748668968192 has 360 divisors, whose sum is σ = 460303540211592. Its totient is φ = 49716412416000.

The previous prime is 151748668968151. The next prime is 151748668968251. The reversal of 151748668968192 is 291869866847151.

151748668968192 is a `hidden beast` number, since 1 + 5 + 1 + 7 + 486 + 68 + 9 + 68 + 19 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58939645510656 + 92809023457536 = 7677216^2 + 9633744^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

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 39 ways as a sum of consecutive naturals, for example, 286659592 + ... + 287188472.

Almost surely, 2^{151748668968192} is an apocalyptic number.

151748668968192 is a gapful number since it is divisible by the number (12) 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 151748668968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230151770105796).

151748668968192 is an abundant number, since it is smaller than the sum of its proper divisors (308554871243400).

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

151748668968192 is a wasteful number, since it uses less digits than its factorization.

151748668968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529147 (or 529124 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 81.

The spelling of 151748668968192 in words is "one hundred fifty-one trillion, seven hundred forty-eight billion, six hundred sixty-eight million, nine hundred sixty-eight thousand, one hundred ninety-two".