151968051200 has 468 divisors, whose sum is σ = 452962562112. Its totient is φ = 50370969600.

The previous prime is 151968051173. The next prime is 151968051229. The reversal of 151968051200 is 2150869151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155545112 + ... + 155546088.

Almost surely, 2^151968051200 is an apocalyptic number.

151968051200 is a gapful number since it is divisible by the number (10) 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 151968051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226481281056).

151968051200 is an abundant number, since it is smaller than the sum of its proper divisors (300994510912).

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

151968051200 is an equidigital number, since it uses as much as digits as its factorization.

151968051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 38.

The spelling of 151968051200 in words is "one hundred fifty-one billion, nine hundred sixty-eight million, fifty-one thousand, two hundred".