135586840 has 32 divisors (see below), whose sum is σ = 318336480. Its totient is φ = 51876352.

The previous prime is 135586837. The next prime is 135586853. The reversal of 135586840 is 48685531.

135586840 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 135586793 and 135586802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72769 + ... + 74608.

It is an arithmetic number, because the mean of its divisors is an integer number (9948015).

Almost surely, 2^135586840 is an apocalyptic number.

135586840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135586840 is an abundant number, since it is smaller than the sum of its proper divisors (182749640).

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

135586840 is a wasteful number, since it uses less digits than its factorization.

135586840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147411 (or 147407 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 135586840 is about 11644.1762267668. The cubic root of 135586840 is about 513.7350297455.

The spelling of 135586840 in words is "one hundred thirty-five million, five hundred eighty-six thousand, eight hundred forty".