135006000 has 80 divisors (see below), whose sum is σ = 435278688. Its totient is φ = 36000000.

The previous prime is 135005971. The next prime is 135006019. The reversal of 135006000 is 600531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 5251 + ... + 17250.

Almost surely, 2^135006000 is an apocalyptic number.

135006000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135006000 is an abundant number, since it is smaller than the sum of its proper divisors (300272688).

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

135006000 is a wasteful number, since it uses less digits than its factorization.

135006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22527 (or 22511 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 135006000 is about 11619.2082346432. The cubic root of 135006000 is about 513.0003837835. Note that the first 3 decimals are identical.

Adding to 135006000 its reverse (600531), we get a palindrome (135606531).

It can be divided in two parts, 13500 and 6000, that multiplied together give a square (81000000 = 9000²).

The spelling of 135006000 in words is "one hundred thirty-five million, six thousand".