135860400 has 180 divisors, whose sum is σ = 507915408. Its totient is φ = 33431040.

The previous prime is 135860371. The next prime is 135860423. The reversal of 135860400 is 4068531.

135860400 is a `hidden beast` number, since 1 + 3 + 58 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45349 + ... + 48251.

Almost surely, 2^135860400 is an apocalyptic number.

135860400 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 135860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253957704).

135860400 is an abundant number, since it is smaller than the sum of its proper divisors (372055008).

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

135860400 is a wasteful number, since it uses less digits than its factorization.

135860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135860400 is about 11655.9169523466. The cubic root of 135860400 is about 514.0803015642.

The spelling of 135860400 in words is "one hundred thirty-five million, eight hundred sixty thousand, four hundred".