359141536 has 48 divisors (see below), whose sum is σ = 782062344. Its totient is φ = 161270784.

The previous prime is 359141513. The next prime is 359141543. The reversal of 359141536 is 635141953.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 225600400 + 133541136 = 15020^2 + 11556^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 359141495 and 359141504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3726 + ... + 27058.

Almost surely, 2^359141536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359141536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391031172).

359141536 is an abundant number, since it is smaller than the sum of its proper divisors (422920808).

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

359141536 is a wasteful number, since it uses less digits than its factorization.

359141536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23393 (or 23385 counting only the distinct ones).

The product of its digits is 48600, while the sum is 37.

The square root of 359141536 is about 18951.0299456256. The cubic root of 359141536 is about 710.8127543805.

The spelling of 359141536 in words is "three hundred fifty-nine million, one hundred forty-one thousand, five hundred thirty-six".