151585440768 has 704 divisors, whose sum is σ = 488984739840. Its totient is φ = 46293811200.

The previous prime is 151585440749. The next prime is 151585440817. The reversal of 151585440768 is 867044585151.

151585440768 is a `hidden beast` number, since 1 + 51 + 5 + 85 + 440 + 76 + 8 = 666.

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

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, 2135006173 + ... + 2135006243.

Almost surely, 2^151585440768 is an apocalyptic number.

151585440768 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 151585440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244492369920).

151585440768 is an abundant number, since it is smaller than the sum of its proper divisors (337399299072).

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

151585440768 is a wasteful number, since it uses less digits than its factorization.

151585440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 151585440768 in words is "one hundred fifty-one billion, five hundred eighty-five million, four hundred forty thousand, seven hundred sixty-eight".