40135164 has 72 divisors (see below), whose sum is σ = 101501568. Its totient is φ = 12337920.

The previous prime is 40135157. The next prime is 40135169. The reversal of 40135164 is 46153104.

It is a super-2 number, since 2×40135164² = 3221662778613792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40135169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246147 + ... + 246309.

It is an arithmetic number, because the mean of its divisors is an integer number (1409744).

Almost surely, 2^40135164 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 40135164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50750784).

40135164 is an abundant number, since it is smaller than the sum of its proper divisors (61366404).

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

40135164 is a wasteful number, since it uses less digits than its factorization.

40135164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 40135164 is about 6335.2319610256. The cubic root of 40135164 is about 342.3799682395.

Adding to 40135164 its reverse (46153104), we get a palindrome (86288268).

The spelling of 40135164 in words is "forty million, one hundred thirty-five thousand, one hundred sixty-four".