135766800 has 240 divisors, whose sum is σ = 520938880. Its totient is φ = 33384960.

The previous prime is 135766789. The next prime is 135766823. The reversal of 135766800 is 8667531.

135766800 is a `hidden beast` number, since 1 + 3 + 576 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 139917 + ... + 140883.

Almost surely, 2^135766800 is an apocalyptic number.

135766800 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 135766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260469440).

135766800 is an abundant number, since it is smaller than the sum of its proper divisors (385172080).

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

135766800 is a wasteful number, since it uses less digits than its factorization.

135766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 135766800 is about 11651.9011324333. The cubic root of 135766800 is about 513.9622171908.

The spelling of 135766800 in words is "one hundred thirty-five million, seven hundred sixty-six thousand, eight hundred".