151305612282 has 160 divisors (see below), whose sum is σ = 389982574080. Its totient is φ = 43363602720.

The previous prime is 151305612223. The next prime is 151305612299. The reversal of 151305612282 is 282216503151.

151305612282 is a `hidden beast` number, since 1 + 5 + 1 + 30 + 5 + 612 + 2 + 8 + 2 = 666.

It is a super-3 number, since 3×151305612282³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21902673 + ... + 21909579.

It is an arithmetic number, because the mean of its divisors is an integer number (2437391088).

Almost surely, 2^151305612282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151305612282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194991287040).

151305612282 is an abundant number, since it is smaller than the sum of its proper divisors (238676961798).

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

151305612282 is a wasteful number, since it uses less digits than its factorization.

151305612282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7598 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 151305612282 in words is "one hundred fifty-one billion, three hundred five million, six hundred twelve thousand, two hundred eighty-two".