135753357531 has 16 divisors (see below), whose sum is σ = 202796172288. Its totient is φ = 80051119200.

The previous prime is 135753357521. The next prime is 135753357581.

It is a happy number.

135753357531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135753357531 - 2²⁵ = 135719803099 is a prime.

It is a super-2 number, since 2×135753357531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135753357521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55589835 + ... + 55592276.

It is an arithmetic number, because the mean of its divisors is an integer number (12674760768).

Almost surely, 2^135753357531 is an apocalyptic number.

135753357531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135753357531 is a deficient number, since it is larger than the sum of its proper divisors (67042814757).

135753357531 is a wasteful number, since it uses less digits than its factorization.

135753357531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111182162.

The product of its digits is 2480625, while the sum is 48.

The spelling of 135753357531 in words is "one hundred thirty-five billion, seven hundred fifty-three million, three hundred fifty-seven thousand, five hundred thirty-one".