135787531 has 24 divisors (see below), whose sum is σ = 154977984. Its totient is φ = 118800000.

The previous prime is 135787459. The next prime is 135787549.

135787531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135787531 - 2²⁷ = 1569803 is a prime.

It is a super-2 number, since 2×135787531² = 36876507150151922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135781531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500926 + ... + 501196.

It is an arithmetic number, because the mean of its divisors is an integer number (6457416).

Almost surely, 2^135787531 is an apocalyptic number.

135787531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135787531 is a deficient number, since it is larger than the sum of its proper divisors (19190453).

135787531 is a wasteful number, since it uses less digits than its factorization.

135787531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its digits is 88200, while the sum is 40.

The square root of 135787531 is about 11652.7906957947. The cubic root of 135787531 is about 513.9883757913.

It can be divided in two parts, 1357 and 87531, that added together give a palindrome (88888).

The spelling of 135787531 in words is "one hundred thirty-five million, seven hundred eighty-seven thousand, five hundred thirty-one".