151351996435200 has 864 divisors, whose sum is σ = 605583840153600. Its totient is φ = 36683053056000.

The previous prime is 151351996435177. The next prime is 151351996435247. The reversal of 151351996435200 is 2534699153151.

151351996435200 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 51 + 9 + 9 + 64 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14333927521 + ... + 14333938079.

It is an arithmetic number, because the mean of its divisors is an integer number (700907222400).

Almost surely, 2^{151351996435200} is an apocalyptic number.

151351996435200 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 151351996435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302791920076800).

151351996435200 is an abundant number, since it is smaller than the sum of its proper divisors (454231843718400).

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

151351996435200 is a wasteful number, since it uses less digits than its factorization.

151351996435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18146 (or 18121 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 151351996435200 in words is "one hundred fifty-one trillion, three hundred fifty-one billion, nine hundred ninety-six million, four hundred thirty-five thousand, two hundred".