135444000 has 96 divisors (see below), whose sum is σ = 443753856. Its totient is φ = 36115200.

The previous prime is 135443983. The next prime is 135444017. The reversal of 135444000 is 444531.

135444000 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (135443983) and next prime (135444017).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6357 + ... + 17643.

It is an arithmetic number, because the mean of its divisors is an integer number (4622436).

Almost surely, 2^135444000 is an apocalyptic number.

135444000 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 135444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221876928).

135444000 is an abundant number, since it is smaller than the sum of its proper divisors (308309856).

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

135444000 is a wasteful number, since it uses less digits than its factorization.

135444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11315 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 135444000 is about 11638.0410722767. The cubic root of 135444000 is about 513.5545606678.

Adding to 135444000 its reverse (444531), we get a palindrome (135888531).

It can be divided in two parts, 1354 and 44000, that added together give a palindrome (45354).

The spelling of 135444000 in words is "one hundred thirty-five million, four hundred forty-four thousand".