151627368960 has 640 divisors, whose sum is σ = 570392064000. Its totient is φ = 38073286656.

The previous prime is 151627368947. The next prime is 151627369027. The reversal of 151627368960 is 69863726151.

151627368960 is a `hidden beast` number, since 1 + 5 + 1 + 627 + 3 + 6 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 151627368897 and 151627368906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345392421 + ... + 345392859.

It is an arithmetic number, because the mean of its divisors is an integer number (891237600).

Almost surely, 2^151627368960 is an apocalyptic number.

151627368960 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 151627368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285196032000).

151627368960 is an abundant number, since it is smaller than the sum of its proper divisors (418764695040).

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

151627368960 is a wasteful number, since it uses less digits than its factorization.

151627368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 731 counting only the distinct ones).

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

The spelling of 151627368960 in words is "one hundred fifty-one billion, six hundred twenty-seven million, three hundred sixty-eight thousand, nine hundred sixty".