158144361804800 has 792 divisors, whose sum is σ = 477067118678784. Its totient is φ = 51729107189760.

The previous prime is 158144361804727. The next prime is 158144361804811. The reversal of 158144361804800 is 8408163441851.

It is a happy number.

158144361804800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×158144361804800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11453919497 + ... + 11453933303.

Almost surely, 2^{158144361804800} is an apocalyptic number.

158144361804800 is a gapful number since it is divisible by the number (10) 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 158144361804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238533559339392).

158144361804800 is an abundant number, since it is smaller than the sum of its proper divisors (318922756873984).

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

158144361804800 is a wasteful number, since it uses less digits than its factorization.

158144361804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271 (or 14241 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 53.

The spelling of 158144361804800 in words is "one hundred fifty-eight trillion, one hundred forty-four billion, three hundred sixty-one million, eight hundred four thousand, eight hundred".