159114034800 has 1800 divisors, whose sum is σ = 710099229312. Its totient is φ = 33965568000.

The previous prime is 159114034787. The next prime is 159114034801. The reversal of 159114034800 is 8430411951.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×159114034800² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159114034801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2608426770 + ... + 2608426830.

Almost surely, 2^159114034800 is an apocalyptic number.

159114034800 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 159114034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355049614656).

159114034800 is an abundant number, since it is smaller than the sum of its proper divisors (550985194512).

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

159114034800 is a wasteful number, since it uses less digits than its factorization.

159114034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 159114034800 in words is "one hundred fifty-nine billion, one hundred fourteen million, thirty-four thousand, eight hundred".