159142104950400 has 3072 divisors, whose sum is σ = 736422190963200. Its totient is φ = 32965263360000.

The previous prime is 159142104950341. The next prime is 159142104950419. The reversal of 159142104950400 is 4059401241951.

159142104950400 is a `hidden beast` number, since 1 + 5 + 9 + 142 + 10 + 4 + 95 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12812336190 + ... + 12812348610.

Almost surely, 2^{159142104950400} is an apocalyptic number.

159142104950400 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 159142104950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368211095481600).

159142104950400 is an abundant number, since it is smaller than the sum of its proper divisors (577280086012800).

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

159142104950400 is a wasteful number, since it uses less digits than its factorization.

159142104950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12556 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 159142104950400 in words is "one hundred fifty-nine trillion, one hundred forty-two billion, one hundred four million, nine hundred fifty thousand, four hundred".