135767000 has 64 divisors (see below), whose sum is σ = 320336640. Its totient is φ = 53856000.

The previous prime is 135766997. The next prime is 135767017. The reversal of 135767000 is 767531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136505 + ... + 137495.

It is an arithmetic number, because the mean of its divisors is an integer number (5005260).

Almost surely, 2^135767000 is an apocalyptic number.

135767000 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 135767000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160168320).

135767000 is an abundant number, since it is smaller than the sum of its proper divisors (184569640).

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

135767000 is a wasteful number, since it uses less digits than its factorization.

135767000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 135767000 is about 11651.9097147206. The cubic root of 135767000 is about 513.9624695656.

The spelling of 135767000 in words is "one hundred thirty-five million, seven hundred sixty-seven thousand".