135320423040 has 256 divisors, whose sum is σ = 522829641600. Its totient is φ = 32804904960.

The previous prime is 135320423033. The next prime is 135320423071. The reversal of 135320423040 is 40324023531.

135320423040 is a `hidden beast` number, since 1 + 35 + 320 + 4 + 2 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135320422995 and 135320423013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165877 + ... + 546036.

Almost surely, 2^135320423040 is an apocalyptic number.

135320423040 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 135320423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261414820800).

135320423040 is an abundant number, since it is smaller than the sum of its proper divisors (387509218560).

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

135320423040 is a wasteful number, since it uses less digits than its factorization.

135320423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711952 (or 711934 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 135320423040 its reverse (40324023531), we get a palindrome (175644446571).

The spelling of 135320423040 in words is "one hundred thirty-five billion, three hundred twenty million, four hundred twenty-three thousand, forty".