135744447531 has 128 divisors (see below), whose sum is σ = 234519183360. Its totient is φ = 67806144000.

The previous prime is 135744447469. The next prime is 135744447541.

135744447531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135744447531 - 2¹⁹ = 135743923243 is a prime.

It is a super-2 number, since 2×135744447531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135744447541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 269869426 + ... + 269869928.

It is an arithmetic number, because the mean of its divisors is an integer number (1832181120).

Almost surely, 2^135744447531 is an apocalyptic number.

135744447531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135744447531 is a deficient number, since it is larger than the sum of its proper divisors (98774735829).

135744447531 is a wasteful number, since it uses less digits than its factorization.

135744447531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937.

The product of its digits is 2822400, while the sum is 48.

The spelling of 135744447531 in words is "one hundred thirty-five billion, seven hundred forty-four million, four hundred forty-seven thousand, five hundred thirty-one".