135203712 has 128 divisors (see below), whose sum is σ = 414201600. Its totient is φ = 38277120.

The previous prime is 135203711. The next prime is 135203723. The reversal of 135203712 is 217302531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135203711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481012 + ... + 481292.

It is an arithmetic number, because the mean of its divisors is an integer number (3235950).

Almost surely, 2^135203712 is an apocalyptic number.

135203712 is a gapful number since it is divisible by the number (12) 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 135203712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207100800).

135203712 is an abundant number, since it is smaller than the sum of its proper divisors (278997888).

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

135203712 is a wasteful number, since it uses less digits than its factorization.

135203712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

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

The square root of 135203712 is about 11627.7131027558. The cubic root of 135203712 is about 513.2506858941.

The spelling of 135203712 in words is "one hundred thirty-five million, two hundred three thousand, seven hundred twelve".