151300219632282 has 288 divisors, whose sum is σ = 399773214906624. Its totient is φ = 40503064780800.

The previous prime is 151300219632269. The next prime is 151300219632307. The reversal of 151300219632282 is 282236912003151.

151300219632282 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 0 + 0 + 2 + 1 + 9 + 632 + 2 + 8 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9297614898 + ... + 9297631170.

It is an arithmetic number, because the mean of its divisors is an integer number (1388101440648).

Almost surely, 2^{151300219632282} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151300219632282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199886607453312).

151300219632282 is an abundant number, since it is smaller than the sum of its proper divisors (248472995274342).

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

151300219632282 is a wasteful number, since it uses less digits than its factorization.

151300219632282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17454 (or 17434 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 151300219632282 in words is "one hundred fifty-one trillion, three hundred billion, two hundred nineteen million, six hundred thirty-two thousand, two hundred eighty-two".