135101600 has 72 divisors (see below), whose sum is σ = 333408348. Its totient is φ = 53452800.

The previous prime is 135101599. The next prime is 135101621. The reversal of 135101600 is 6101531.

It can be written as a sum of positive squares in 6 ways, for example, as 7772944 + 127328656 = 2788^2 + 11284^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76730 + ... + 78470.

Almost surely, 2^135101600 is an apocalyptic number.

135101600 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 135101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166704174).

135101600 is an abundant number, since it is smaller than the sum of its proper divisors (198306748).

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

135101600 is a wasteful number, since it uses less digits than its factorization.

135101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 135101600 is about 11623.3213841828. The cubic root of 135101600 is about 513.1214432555.

The spelling of 135101600 in words is "one hundred thirty-five million, one hundred one thousand, six hundred".