151641718272 has 640 divisors, whose sum is σ = 512292211200. Its totient is φ = 43868160000.

The previous prime is 151641718253. The next prime is 151641718289. The reversal of 151641718272 is 272817146151.

151641718272 is a `hidden beast` number, since 1 + 51 + 6 + 417 + 182 + 7 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 604150147 + ... + 604150397.

It is an arithmetic number, because the mean of its divisors is an integer number (800456580).

Almost surely, 2^151641718272 is an apocalyptic number.

151641718272 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 151641718272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256146105600).

151641718272 is an abundant number, since it is smaller than the sum of its proper divisors (360650492928).

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

151641718272 is a wasteful number, since it uses less digits than its factorization.

151641718272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 433 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The spelling of 151641718272 in words is "one hundred fifty-one billion, six hundred forty-one million, seven hundred eighteen thousand, two hundred seventy-two".