165214640135331 has 48 divisors (see below), whose sum is σ = 248617884872448. Its totient is φ = 109637746020000.

The previous prime is 165214640135323. The next prime is 165214640135357. The reversal of 165214640135331 is 133531046412561.

165214640135331 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 146 + 40 + 135 + 331 = 666.

It is not a de Polignac number, because 165214640135331 - 2³ = 165214640135323 is a prime.

It is a super-2 number, since 2×165214640135331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165214640134331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303168426 + ... + 303712896.

It is an arithmetic number, because the mean of its divisors is an integer number (5179539268176).

Almost surely, 2^{165214640135331} is an apocalyptic number.

165214640135331 is a deficient number, since it is larger than the sum of its proper divisors (83403244737117).

165214640135331 is an equidigital number, since it uses as much as digits as its factorization.

165214640135331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550214 (or 550202 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 165214640135331 its reverse (133531046412561), we get a palindrome (298745686547892).

The spelling of 165214640135331 in words is "one hundred sixty-five trillion, two hundred fourteen billion, six hundred forty million, one hundred thirty-five thousand, three hundred thirty-one".