201138864 has 160 divisors (see below), whose sum is σ = 586629120. Its totient is φ = 59076864.

The previous prime is 201138863. The next prime is 201138877. The reversal of 201138864 is 468831102.

201138864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201138864² = 80913685222420992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201138863) 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, 901857 + ... + 902079.

It is an arithmetic number, because the mean of its divisors is an integer number (3666432).

Almost surely, 2^201138864 is an apocalyptic number.

201138864 is a gapful number since it is divisible by the number (24) 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 201138864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293314560).

201138864 is an abundant number, since it is smaller than the sum of its proper divisors (385490256).

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

201138864 is a wasteful number, since it uses less digits than its factorization.

201138864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 201138864 is about 14182.3433888762. The cubic root of 201138864 is about 585.9114668597.

Adding to 201138864 its reverse (468831102), we get a palindrome (669969966).

The spelling of 201138864 in words is "two hundred one million, one hundred thirty-eight thousand, eight hundred sixty-four".