135412305440 has 48 divisors (see below), whose sum is σ = 319933682712. Its totient is φ = 54161178624.

The previous prime is 135412305433. The next prime is 135412305463. The reversal of 135412305440 is 44503214531.

It can be written as a sum of positive squares in 4 ways, for example, as 66640389904 + 68771915536 = 258148^2 + 262244^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 135412305397 and 135412305406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4181792 + ... + 4214048.

Almost surely, 2^135412305440 is an apocalyptic number.

135412305440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135412305440 is an abundant number, since it is smaller than the sum of its proper divisors (184521377272).

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

135412305440 is a wasteful number, since it uses less digits than its factorization.

135412305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58509 (or 58501 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 135412305440 its reverse (44503214531), we get a palindrome (179915519971).

Subtracting from 135412305440 its reverse (44503214531), we obtain a palindrome (90909090909).

The spelling of 135412305440 in words is "one hundred thirty-five billion, four hundred twelve million, three hundred five thousand, four hundred forty".