135464101464531 has 64 divisors (see below), whose sum is σ = 210851202124800. Its totient is φ = 75754406407680.

The previous prime is 135464101464511. The next prime is 135464101464541.

It is a happy number.

135464101464531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135464101464531 - 2⁵ = 135464101464499 is a prime.

It is a super-2 number, since 2×135464101464531² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135464101464511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3256092976 + ... + 3256134578.

It is an arithmetic number, because the mean of its divisors is an integer number (3294550033200).

Almost surely, 2^{135464101464531} is an apocalyptic number.

135464101464531 is a deficient number, since it is larger than the sum of its proper divisors (75387100660269).

135464101464531 is a wasteful number, since it uses less digits than its factorization.

135464101464531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49036.

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 135464101464531 in words is "one hundred thirty-five trillion, four hundred sixty-four billion, one hundred one million, four hundred sixty-four thousand, five hundred thirty-one".