159252610164000 has 384 divisors, whose sum is σ = 552865107674880. Its totient is φ = 40002894848000.

The previous prime is 159252610163929. The next prime is 159252610164031. The reversal of 159252610164000 is 461016252951.

It is a happy number.

It is a super-2 number, since 2×159252610164000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8687239 + ... + 19848761.

It is an arithmetic number, because the mean of its divisors is an integer number (1439752884570).

Almost surely, 2^{159252610164000} is an apocalyptic number.

159252610164000 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 159252610164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276432553837440).

159252610164000 is an abundant number, since it is smaller than the sum of its proper divisors (393612497510880).

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

159252610164000 is a wasteful number, since it uses less digits than its factorization.

159252610164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11161621 (or 11161603 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 159252610164000 in words is "one hundred fifty-nine trillion, two hundred fifty-two billion, six hundred ten million, one hundred sixty-four thousand".