159135840 has 144 divisors (see below), whose sum is σ = 563301648. Its totient is φ = 42425856.

The previous prime is 159135829. The next prime is 159135859. The reversal of 159135840 is 48531951.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 159135795 and 159135804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36834 + ... + 40926.

It is an arithmetic number, because the mean of its divisors is an integer number (3911817).

Almost surely, 2^159135840 is an apocalyptic number.

159135840 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 159135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281650824).

159135840 is an abundant number, since it is smaller than the sum of its proper divisors (404165808).

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

159135840 is an equidigital number, since it uses as much as digits as its factorization.

159135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 159135840 is about 12614.9054693248. The cubic root of 159135840 is about 541.9043871229.

The spelling of 159135840 in words is "one hundred fifty-nine million, one hundred thirty-five thousand, eight hundred forty".