135601000 has 32 divisors (see below), whose sum is σ = 317308680. Its totient is φ = 54240000.

The previous prime is 135600991. The next prime is 135601003. The reversal of 135601000 is 106531.

It can be written as a sum of positive squares in 4 ways, for example, as 27815076 + 107785924 = 5274^2 + 10382^2 .

It is not an unprimeable number, because it can be changed into a prime (135601003) 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 7 ways as a sum of consecutive naturals, for example, 66801 + ... + 68800.

Almost surely, 2^135601000 is an apocalyptic number.

135601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135601000 is an abundant number, since it is smaller than the sum of its proper divisors (181707680).

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

135601000 is a wasteful number, since it uses less digits than its factorization.

135601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135622 (or 135608 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 135601000 is about 11644.7842401652. The cubic root of 135601000 is about 513.7529130809.

Adding to 135601000 its reverse (106531), we get a palindrome (135707531).

The spelling of 135601000 in words is "one hundred thirty-five million, six hundred one thousand".