151163902768320 has 336 divisors, whose sum is σ = 559957370499072. Its totient is φ = 37208175206400.

The previous prime is 151163902768289. The next prime is 151163902768357. The reversal of 151163902768320 is 23867209361151.

It is a happy number.

151163902768320 is a `hidden beast` number, since 1 + 5 + 1 + 16 + 39 + 0 + 276 + 8 + 320 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1284245470 + ... + 1284363170.

It is an arithmetic number, because the mean of its divisors is an integer number (1666539793152).

Almost surely, 2^{151163902768320} is an apocalyptic number.

151163902768320 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 151163902768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279978685249536).

151163902768320 is an abundant number, since it is smaller than the sum of its proper divisors (408793467730752).

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

151163902768320 is a wasteful number, since it uses less digits than its factorization.

151163902768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152040 (or 152027 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 151163902768320 in words is "one hundred fifty-one trillion, one hundred sixty-three billion, nine hundred two million, seven hundred sixty-eight thousand, three hundred twenty".