135002400 has 144 divisors (see below), whose sum is σ = 473344704. Its totient is φ = 33223680.

The previous prime is 135002393. The next prime is 135002401. The reversal of 135002400 is 4200531.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135002400.

It is not an unprimeable number, because it can be changed into a prime (135002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29037 + ... + 33363.

It is an arithmetic number, because the mean of its divisors is an integer number (3287116).

Almost surely, 2^135002400 is an apocalyptic number.

135002400 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 135002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236672352).

135002400 is an abundant number, since it is smaller than the sum of its proper divisors (338342304).

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

135002400 is a wasteful number, since it uses less digits than its factorization.

135002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 135002400 is about 11619.0533177191. The cubic root of 135002400 is about 512.9958239422.

Adding to 135002400 its reverse (4200531), we get a palindrome (139202931).

The spelling of 135002400 in words is "one hundred thirty-five million, two thousand, four hundred".