135476261041 has 9 divisors (see below), whose sum is σ = 148916373739. Its totient is φ = 123156556600.

The previous prime is 135476260919. The next prime is 135476261069. The reversal of 135476261041 is 140162674531.

The square root of 135476261041 is 368071.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67740993441 + 67735267600 = 260271^2 + 260260^2 .

It is not a de Polignac number, because 135476261041 - 2¹⁷ = 135476129969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135476260985 and 135476261003.

It is not an unprimeable number, because it can be changed into a prime (135476268041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4032051 + ... + 4065511.

Almost surely, 2^135476261041 is an apocalyptic number.

135476261041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135476261041 is the 368071-st square number.

135476261041 is the 184036-th centered octagonal number.

It is an amenable number.

135476261041 is a deficient number, since it is larger than the sum of its proper divisors (13440112698).

135476261041 is an frugal number, since it uses more digits than its factorization.

135476261041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66944 (or 33472 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 135476261041 in words is "one hundred thirty-five billion, four hundred seventy-six million, two hundred sixty-one thousand, forty-one".