151363416073200 has 240 divisors, whose sum is σ = 511800658732800. Its totient is φ = 38239176718080.

The previous prime is 151363416073157. The next prime is 151363416073223. The reversal of 151363416073200 is 2370614363151.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964140 + ... + 17425739.

It is an arithmetic number, because the mean of its divisors is an integer number (2132502744720).

Almost surely, 2^{151363416073200} is an apocalyptic number.

151363416073200 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 151363416073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255900329366400).

151363416073200 is an abundant number, since it is smaller than the sum of its proper divisors (360437242659600).

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

151363416073200 is a wasteful number, since it uses less digits than its factorization.

151363416073200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18389957 (or 18389908 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 151363416073200 in words is "one hundred fifty-one trillion, three hundred sixty-three billion, four hundred sixteen million, seventy-three thousand, two hundred".