135408780 has 96 divisors (see below), whose sum is σ = 453700800. Its totient is φ = 33329664.

The previous prime is 135408731. The next prime is 135408787. The reversal of 135408780 is 87804531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135408787) 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, 2625 + ... + 16664.

It is an arithmetic number, because the mean of its divisors is an integer number (4726050).

Almost surely, 2^135408780 is an apocalyptic number.

135408780 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 135408780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226850400).

135408780 is an abundant number, since it is smaller than the sum of its proper divisors (318292020).

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

135408780 is a wasteful number, since it uses less digits than its factorization.

135408780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19320 (or 19312 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135408780 is about 11636.5278326484. The cubic root of 135408780 is about 513.5100429837.

The spelling of 135408780 in words is "one hundred thirty-five million, four hundred eight thousand, seven hundred eighty".