135632640 has 432 divisors, whose sum is σ = 538634880. Its totient is φ = 28753920.

The previous prime is 135632591. The next prime is 135632641. The reversal of 135632640 is 46236531.

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

It is a junction number, because it is equal to n+sod(n) for n = 135632598 and 135632607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135632641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7138551 + ... + 7138569.

It is an arithmetic number, because the mean of its divisors is an integer number (1246840).

Almost surely, 2^135632640 is an apocalyptic number.

135632640 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 135632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269317440).

135632640 is an abundant number, since it is smaller than the sum of its proper divisors (403002240).

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

135632640 is a wasteful number, since it uses less digits than its factorization.

135632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 135632640 is about 11646.1427090690. The cubic root of 135632640 is about 513.7928682387.

The spelling of 135632640 in words is "one hundred thirty-five million, six hundred thirty-two thousand, six hundred forty".