135444100 has 72 divisors (see below), whose sum is σ = 339540768. Its totient is φ = 46348800.

The previous prime is 135444061. The next prime is 135444121. The reversal of 135444100 is 1444531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15079 + ... + 22321.

It is an arithmetic number, because the mean of its divisors is an integer number (4715844).

Almost surely, 2^135444100 is an apocalyptic number.

135444100 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 135444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169770384).

135444100 is an abundant number, since it is smaller than the sum of its proper divisors (204096668).

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

135444100 is a wasteful number, since it uses less digits than its factorization.

135444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7285 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 135444100 is about 11638.0453685316. The cubic root of 135444100 is about 513.5546870557.

Adding to 135444100 its reverse (1444531), we get a palindrome (136888631).

It can be divided in two parts, 1354 and 44100, that added together give a palindrome (45454).

The spelling of 135444100 in words is "one hundred thirty-five million, four hundred forty-four thousand, one hundred".