151941145566168 has 560 divisors, whose sum is σ = 514374909499200. Its totient is φ = 42011256631680.

The previous prime is 151941145566149. The next prime is 151941145566169. The reversal of 151941145566168 is 861665541149151.

It is a happy number.

151941145566168 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 4 + 1 + 1 + 4 + 5 + 5 + 6 + 616 + 8 = 666.

It is a super-2 number, since 2×151941145566168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151941145566169) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 433906578 + ... + 434256606.

Almost surely, 2^{151941145566168} is an apocalyptic number.

151941145566168 is a gapful number since it is divisible by the number (18) 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 151941145566168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257187454749600).

151941145566168 is an abundant number, since it is smaller than the sum of its proper divisors (362433763933032).

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

151941145566168 is an frugal number, since it uses more digits than its factorization.

151941145566168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350112 (or 350072 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 63.

The spelling of 151941145566168 in words is "one hundred fifty-one trillion, nine hundred forty-one billion, one hundred forty-five million, five hundred sixty-six thousand, one hundred sixty-eight".