135440550310221 has 96 divisors (see below), whose sum is σ = 217155814686720. Its totient is φ = 80834442998400.

The previous prime is 135440550310201. The next prime is 135440550310243. The reversal of 135440550310221 is 122013055044531.

135440550310221 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 40 + 5 + 503 + 102 + 2 + 1 = 666.

It is not a de Polignac number, because 135440550310221 - 2¹⁵ = 135440550277453 is a prime.

It is a super-3 number, since 3×135440550310221³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135440550310201) 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, 177463780 + ... + 178225346.

It is an arithmetic number, because the mean of its divisors is an integer number (2262039736320).

Almost surely, 2^{135440550310221} is an apocalyptic number.

It is an amenable number.

135440550310221 is a deficient number, since it is larger than the sum of its proper divisors (81715264376499).

135440550310221 is a wasteful number, since it uses less digits than its factorization.

135440550310221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762007 (or 762004 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 135440550310221 in words is "one hundred thirty-five trillion, four hundred forty billion, five hundred fifty million, three hundred ten thousand, two hundred twenty-one".