151936960032 has 768 divisors, whose sum is σ = 548837130240. Its totient is φ = 40236134400.

The previous prime is 151936960027. The next prime is 151936960069. The reversal of 151936960032 is 230069639151.

151936960032 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 3 + 6 + 9 + 600 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 151936960032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 360895182 + ... + 360895602.

It is an arithmetic number, because the mean of its divisors is an integer number (714631680).

Almost surely, 2^151936960032 is an apocalyptic number.

151936960032 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 151936960032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274418565120).

151936960032 is an abundant number, since it is smaller than the sum of its proper divisors (396900170208).

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

151936960032 is a wasteful number, since it uses less digits than its factorization.

151936960032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 151936960032 in words is "one hundred fifty-one billion, nine hundred thirty-six million, nine hundred sixty thousand, thirty-two".