151154312166 has 576 divisors, whose sum is σ = 432929629440. Its totient is φ = 38720747520.

The previous prime is 151154312093. The next prime is 151154312203. The reversal of 151154312166 is 661213451151.

151154312166 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 5 + 431 + 216 + 6 = 666.

It is a super-2 number, since 2×151154312166² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 151154312166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1558291830 + ... + 1558291926.

It is an arithmetic number, because the mean of its divisors is an integer number (751613940).

Almost surely, 2^151154312166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151154312166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216464814720).

151154312166 is an abundant number, since it is smaller than the sum of its proper divisors (281775317274).

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

151154312166 is a wasteful number, since it uses less digits than its factorization.

151154312166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 188 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 151154312166 in words is "one hundred fifty-one billion, one hundred fifty-four million, three hundred twelve thousand, one hundred sixty-six".