151422120864000 has 1728 divisors, whose sum is σ = 647446770647040. Its totient is φ = 33251420160000.

The previous prime is 151422120863999. The next prime is 151422120864017. The reversal of 151422120864000 is 468021224151.

151422120864000 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 2 + 2 + 1 + 2 + 0 + 8 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 8686935285 + ... + 8686952715.

Almost surely, 2^{151422120864000} is an apocalyptic number.

151422120864000 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 151422120864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323723385323520).

151422120864000 is an abundant number, since it is smaller than the sum of its proper divisors (496024649783040).

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

151422120864000 is a wasteful number, since it uses less digits than its factorization.

151422120864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17645 (or 17618 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 151422120864000 in words is "one hundred fifty-one trillion, four hundred twenty-two billion, one hundred twenty million, eight hundred sixty-four thousand".