135756000 has 240 divisors, whose sum is σ = 499458960. Its totient is φ = 36115200.

The previous prime is 135755993. The next prime is 135756001. The reversal of 135756000 is 657531.

135756000 is a `hidden beast` number, since 1 + 3 + 57 + 5 + 600 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135756001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323791 + ... + 324209.

It is an arithmetic number, because the mean of its divisors is an integer number (2081079).

Almost surely, 2^135756000 is an apocalyptic number.

135756000 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 135756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249729480).

135756000 is an abundant number, since it is smaller than the sum of its proper divisors (363702960).

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

135756000 is an equidigital number, since it uses as much as digits as its factorization.

135756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 429 counting only the distinct ones).

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

The square root of 135756000 is about 11651.4376795312. The cubic root of 135756000 is about 513.9485885787.

The spelling of 135756000 in words is "one hundred thirty-five million, seven hundred fifty-six thousand".