151561888128 has 512 divisors, whose sum is σ = 552879820800. Its totient is φ = 39883898880.

The previous prime is 151561888091. The next prime is 151561888141. The reversal of 151561888128 is 821888165151.

151561888128 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 618 + 8 + 8 + 12 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19325488 + ... + 19333328.

It is an arithmetic number, because the mean of its divisors is an integer number (1079843400).

Almost surely, 2^151561888128 is an apocalyptic number.

151561888128 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 151561888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276439910400).

151561888128 is an abundant number, since it is smaller than the sum of its proper divisors (401317932672).

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

151561888128 is a wasteful number, since it uses less digits than its factorization.

151561888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935 (or 7917 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 54.

The spelling of 151561888128 in words is "one hundred fifty-one billion, five hundred sixty-one million, eight hundred eighty-eight thousand, one hundred twenty-eight".