135540040221 has 96 divisors (see below), whose sum is σ = 212721500160. Its totient is φ = 82950806400.

The previous prime is 135540040177. The next prime is 135540040241. The reversal of 135540040221 is 122040045531.

135540040221 is a `hidden beast` number, since 1 + 35 + 5 + 400 + 4 + 0 + 221 = 666.

It is not a de Polignac number, because 135540040221 - 2¹³ = 135540032029 is a prime.

It is a super-2 number, since 2×135540040221² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135540040241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165090991 + ... + 165091811.

It is an arithmetic number, because the mean of its divisors is an integer number (2215848960).

Almost surely, 2^135540040221 is an apocalyptic number.

It is an amenable number.

135540040221 is a deficient number, since it is larger than the sum of its proper divisors (77181459939).

135540040221 is a wasteful number, since it uses less digits than its factorization.

135540040221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 135540040221 its reverse (122040045531), we get a palindrome (257580085752).

The spelling of 135540040221 in words is "one hundred thirty-five billion, five hundred forty million, forty thousand, two hundred twenty-one".