135876000 has 288 divisors, whose sum is σ = 489198528. Its totient is φ = 32947200.

The previous prime is 135875989. The next prime is 135876031. The reversal of 135876000 is 678531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2027967 + ... + 2028033.

It is an arithmetic number, because the mean of its divisors is an integer number (1698606).

Almost surely, 2^135876000 is an apocalyptic number.

135876000 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 135876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244599264).

135876000 is an abundant number, since it is smaller than the sum of its proper divisors (353322528).

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

135876000 is a wasteful number, since it uses less digits than its factorization.

135876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 135876000 is about 11656.5861211591. The cubic root of 135876000 is about 514.0999770197.

The spelling of 135876000 in words is "one hundred thirty-five million, eight hundred seventy-six thousand".