135602880 has 224 divisors, whose sum is σ = 521427456. Its totient is φ = 29147136.

The previous prime is 135602861. The next prime is 135602923. The reversal of 135602880 is 88206531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113647 + ... + 114833.

Almost surely, 2^135602880 is an apocalyptic number.

135602880 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 135602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260713728).

135602880 is an abundant number, since it is smaller than the sum of its proper divisors (385824576).

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

135602880 is a wasteful number, since it uses less digits than its factorization.

135602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 135602880 is about 11644.8649627207. The cubic root of 135602880 is about 513.7552873284.

The spelling of 135602880 in words is "one hundred thirty-five million, six hundred two thousand, eight hundred eighty".