135529680 has 240 divisors, whose sum is σ = 498718080. Its totient is φ = 30243840.

The previous prime is 135529657. The next prime is 135529687. The reversal of 135529680 is 86925531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135529687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377341 + ... + 377699.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 2^135529680 is an apocalyptic number.

135529680 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 135529680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249359040).

135529680 is an abundant number, since it is smaller than the sum of its proper divisors (363188400).

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

135529680 is a wasteful number, since it uses less digits than its factorization.

135529680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 135529680 is about 11641.7215221805. The cubic root of 135529680 is about 513.6628270111.

It can be divided in two parts, 13552 and 9680, that added together give a palindrome (23232).

The spelling of 135529680 in words is "one hundred thirty-five million, five hundred twenty-nine thousand, six hundred eighty".