135276000 has 96 divisors (see below), whose sum is σ = 443203488. Its totient is φ = 36070400.

The previous prime is 135275963. The next prime is 135276013. The reversal of 135276000 is 672531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6364 + ... + 17636.

It is an arithmetic number, because the mean of its divisors is an integer number (4616703).

Almost surely, 2^135276000 is an apocalyptic number.

135276000 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 135276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221601744).

135276000 is an abundant number, since it is smaller than the sum of its proper divisors (307927488).

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

135276000 is a wasteful number, since it uses less digits than its factorization.

135276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11301 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 135276000 is about 11630.8211232054. The cubic root of 135276000 is about 513.3421411131.

The spelling of 135276000 in words is "one hundred thirty-five million, two hundred seventy-six thousand".