135623040 has 128 divisors (see below), whose sum is σ = 494104320. Its totient is φ = 30996480.

The previous prime is 135623029. The next prime is 135623041. The reversal of 135623040 is 40326531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 135623040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135623041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8395 + ... + 18485.

It is an arithmetic number, because the mean of its divisors is an integer number (3860190).

Almost surely, 2^135623040 is an apocalyptic number.

135623040 is a gapful number since it is divisible by the number (10) 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 135623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247052160).

135623040 is an abundant number, since it is smaller than the sum of its proper divisors (358481280).

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

135623040 is a wasteful number, since it uses less digits than its factorization.

135623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120 (or 10108 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135623040 is about 11645.7305481451. The cubic root of 135623040 is about 513.7807459651.

Adding to 135623040 its reverse (40326531), we get a palindrome (175949571).

The spelling of 135623040 in words is "one hundred thirty-five million, six hundred twenty-three thousand, forty".