151060674816 has 288 divisors, whose sum is σ = 474440198400. Its totient is φ = 47246376960.

The previous prime is 151060674811. The next prime is 151060674829. The reversal of 151060674816 is 618476060151.

151060674816 is a `hidden beast` number, since 1 + 5 + 106 + 0 + 67 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (151060674811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42182146 + ... + 42185726.

It is an arithmetic number, because the mean of its divisors is an integer number (1647361800).

Almost surely, 2^151060674816 is an apocalyptic number.

151060674816 is a gapful number since it is divisible by the number (16) 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 151060674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237220099200).

151060674816 is an abundant number, since it is smaller than the sum of its proper divisors (323379523584).

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

151060674816 is a wasteful number, since it uses less digits than its factorization.

151060674816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 151060674816 in words is "one hundred fifty-one billion, sixty million, six hundred seventy-four thousand, eight hundred sixteen".