151264983168 has 480 divisors, whose sum is σ = 491920030800. Its totient is φ = 46117693440.

The previous prime is 151264983109. The next prime is 151264983169. The reversal of 151264983168 is 861389462151.

It is a happy number.

151264983168 is a `hidden beast` number, since 1 + 512 + 6 + 4 + 98 + 31 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (151264983169) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 229536823 + ... + 229537481.

Almost surely, 2^151264983168 is an apocalyptic number.

151264983168 is a gapful number since it is divisible by the number (18) 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 151264983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245960015400).

151264983168 is an abundant number, since it is smaller than the sum of its proper divisors (340655047632).

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

151264983168 is a wasteful number, since it uses less digits than its factorization.

151264983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 808 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 151264983168 in words is "one hundred fifty-one billion, two hundred sixty-four million, nine hundred eighty-three thousand, one hundred sixty-eight".