135441220144040 has 16 divisors (see below), whose sum is σ = 304742745324180. Its totient is φ = 54176488057600.

The previous prime is 135441220144033. The next prime is 135441220144057. The reversal of 135441220144040 is 40441022144531.

135441220144040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 132904329355396 + 2536890788644 = 11528414^2 + 1592762^2 .

It is a super-2 number, since 2×135441220144040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1693015251761 + ... + 1693015251840.

Almost surely, 2^{135441220144040} is an apocalyptic number.

135441220144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135441220144040 is an abundant number, since it is smaller than the sum of its proper divisors (169301525180140).

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

135441220144040 is a wasteful number, since it uses less digits than its factorization.

135441220144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386030503612 (or 3386030503608 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 135441220144040 its reverse (40441022144531), we get a palindrome (175882242288571).

The spelling of 135441220144040 in words is "one hundred thirty-five trillion, four hundred forty-one billion, two hundred twenty million, one hundred forty-four thousand, forty".