135682560 has 320 divisors, whose sum is σ = 522466560. Its totient is φ = 33177600.

The previous prime is 135682549. The next prime is 135682577. The reversal of 135682560 is 65286531.

135682560 = T₁₈₁ + T₁₈₂ + ... + T₉₃₅.

135682560 is a `hidden beast` number, since 1 + 35 + 68 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 898485 + ... + 898635.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^135682560 is an apocalyptic number.

135682560 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 135682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

135682560 is an abundant number, since it is smaller than the sum of its proper divisors (386784000).

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

135682560 is a wasteful number, since it uses less digits than its factorization.

135682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 135682560 is about 11648.2857107817. The cubic root of 135682560 is about 513.8558948424.

The spelling of 135682560 in words is "one hundred thirty-five million, six hundred eighty-two thousand, five hundred sixty".