135576000 has 336 divisors, whose sum is σ = 556320960. Its totient is φ = 30873600.

The previous prime is 135575983. The next prime is 135576031. The reversal of 135576000 is 675531.

135576000 is a `hidden beast` number, since 1 + 3 + 5 + 57 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503866 + ... + 504134.

Almost surely, 2^135576000 is an apocalyptic number.

135576000 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 135576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278160480).

135576000 is an abundant number, since it is smaller than the sum of its proper divisors (420744960).

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

135576000 is a wasteful number, since it uses less digits than its factorization.

135576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135576000 is about 11643.7107487261. The cubic root of 135576000 is about 513.7213385541.

The spelling of 135576000 in words is "one hundred thirty-five million, five hundred seventy-six thousand".