151393536000 has 1440 divisors, whose sum is σ = 660891231000. Its totient is φ = 34371993600.

The previous prime is 151393535999. The next prime is 151393536031. The reversal of 151393536000 is 635393151.

151393536000 is a `hidden beast` number, since 1 + 5 + 13 + 9 + 35 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18244445184 + 133149090816 = 135072^2 + 364896^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1016063926 + ... + 1016064074.

Almost surely, 2^151393536000 is an apocalyptic number.

151393536000 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 151393536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330445615500).

151393536000 is an abundant number, since it is smaller than the sum of its proper divisors (509497695000).

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

151393536000 is an equidigital number, since it uses as much as digits as its factorization.

151393536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The spelling of 151393536000 in words is "one hundred fifty-one billion, three hundred ninety-three million, five hundred thirty-six thousand".