135002000 has 80 divisors (see below), whose sum is σ = 373107072. Its totient is φ = 46281600.

The previous prime is 135001987. The next prime is 135002009. The reversal of 135002000 is 200531.

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

It is not an unprimeable number, because it can be changed into a prime (135002009) by changing a digit.

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, 9179 + ... + 18821.

Almost surely, 2^135002000 is an apocalyptic number.

135002000 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 135002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186553536).

135002000 is an abundant number, since it is smaller than the sum of its proper divisors (238105072).

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

135002000 is an equidigital number, since it uses as much as digits as its factorization.

135002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9673 (or 9657 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 135002000 is about 11619.0361046001. The cubic root of 135002000 is about 512.9953172882.

Adding to 135002000 its reverse (200531), we get a palindrome (135202531).

It can be divided in two parts, 13500 and 2000, that multiplied together give a cube (27000000 = 300³).

The spelling of 135002000 in words is "one hundred thirty-five million, two thousand".