336134136000 has 224 divisors, whose sum is σ = 1195294097088. Its totient is φ = 82740633600.

The previous prime is 336134135989. The next prime is 336134136007. The reversal of 336134136000 is 631431633.

It is a super-2 number, since 2×336134136000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (336134136007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226677 + ... + 850676.

It is an arithmetic number, because the mean of its divisors is an integer number (5336134362).

Almost surely, 2^336134136000 is an apocalyptic number.

336134136000 is a gapful number since it is divisible by the number (30) 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 336134136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597647048544).

336134136000 is an abundant number, since it is smaller than the sum of its proper divisors (859159961088).

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

336134136000 is a wasteful number, since it uses less digits than its factorization.

336134136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077396 (or 1077376 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 336134136000 its reverse (631431633), we get a palindrome (336765567633).

The spelling of 336134136000 in words is "three hundred thirty-six billion, one hundred thirty-four million, one hundred thirty-six thousand".