135037600 has 144 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 50124800.

The previous prime is 135037583. The next prime is 135037603. The reversal of 135037600 is 6730531.

It is a happy number.

135037600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135037603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754311 + ... + 754489.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^135037600 is an apocalyptic number.

135037600 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 135037600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

135037600 is an abundant number, since it is smaller than the sum of its proper divisors (219314720).

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

135037600 is a wasteful number, since it uses less digits than its factorization.

135037600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 135037600 is about 11620.5679723497. The cubic root of 135037600 is about 513.0404055789.

The spelling of 135037600 in words is "one hundred thirty-five million, thirty-seven thousand, six hundred".