135440440045200 has 180 divisors, whose sum is σ = 470025608626548. Its totient is φ = 36116708428800.

The previous prime is 135440440045177. The next prime is 135440440045213. The reversal of 135440440045200 is 2540044044531.

135440440045200 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 4 + 0 + 4 + 400 + 45 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2944656 + 135440437100544 = 1716^2 + 11637888^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×135440440045200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187491102 + ... + 188212098.

Almost surely, 2^{135440440045200} is an apocalyptic number.

135440440045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135440440045200 is an abundant number, since it is smaller than the sum of its proper divisors (334585168581348).

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

135440440045200 is a wasteful number, since it uses less digits than its factorization.

135440440045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773202 (or 773188 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 135440440045200 its reverse (2540044044531), we get a palindrome (137980484089731).

The spelling of 135440440045200 in words is "one hundred thirty-five trillion, four hundred forty billion, four hundred forty million, forty-five thousand, two hundred".