135641040 has 40 divisors (see below), whose sum is σ = 420487968. Its totient is φ = 36170880.

The previous prime is 135641039. The next prime is 135641047. The reversal of 135641040 is 40146531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×135641040³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135641040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135641047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282346 + ... + 282825.

Almost surely, 2^135641040 is an apocalyptic number.

135641040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135641040 is an abundant number, since it is smaller than the sum of its proper divisors (284846928).

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

135641040 is a wasteful number, since it uses less digits than its factorization.

135641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565187 (or 565181 counting only the distinct ones).

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

The square root of 135641040 is about 11646.5033379122. The cubic root of 135641040 is about 513.8034747589.

Adding to 135641040 its reverse (40146531), we get a palindrome (175787571).

The spelling of 135641040 in words is "one hundred thirty-five million, six hundred forty-one thousand, forty".