135865600 has 216 divisors, whose sum is σ = 383225472. Its totient is φ = 47308800.

The previous prime is 135865571. The next prime is 135865601. The reversal of 135865600 is 6568531.

It is a super-2 number, since 2×135865600² = 36918922526720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135865601) 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 23 ways as a sum of consecutive naturals, for example, 1913565 + ... + 1913635.

It is an arithmetic number, because the mean of its divisors is an integer number (1774192).

Almost surely, 2^135865600 is an apocalyptic number.

135865600 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 135865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191612736).

135865600 is an abundant number, since it is smaller than the sum of its proper divisors (247359872).

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

135865600 is a wasteful number, since it uses less digits than its factorization.

135865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 135865600 is about 11656.1400128859. The cubic root of 135865600 is about 514.0868602167.

The spelling of 135865600 in words is "one hundred thirty-five million, eight hundred sixty-five thousand, six hundred".