135388000 has 192 divisors, whose sum is σ = 386358336. Its totient is φ = 46080000.

The previous prime is 135387997. The next prime is 135388007. The reversal of 135388000 is 883531.

It is a self number, because there is not a number n which added to its sum of digits gives 135388000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135388007) 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 31 ways as a sum of consecutive naturals, for example, 747910 + ... + 748090.

It is an arithmetic number, because the mean of its divisors is an integer number (2012283).

Almost surely, 2^135388000 is an apocalyptic number.

135388000 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 135388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193179168).

135388000 is an abundant number, since it is smaller than the sum of its proper divisors (250970336).

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

135388000 is a wasteful number, since it uses less digits than its factorization.

135388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 135388000 is about 11635.6349203643. The cubic root of 135388000 is about 513.4837736763.

The spelling of 135388000 in words is "one hundred thirty-five million, three hundred eighty-eight thousand".