135431919 has 48 divisors (see below), whose sum is σ = 234404352. Its totient is φ = 76539168.

The previous prime is 135431917. The next prime is 135431921. The reversal of 135431919 is 919134531.

135431919 is a `hidden beast` number, since 135 + 431 + 91 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (135431917) and next prime (135431921).

It is not a de Polignac number, because 135431919 - 2¹ = 135431917 is a prime.

It is a super-2 number, since 2×135431919² = 36683609368045122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135431917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174817 + ... + 175589.

It is an arithmetic number, because the mean of its divisors is an integer number (4883424).

Almost surely, 2^135431919 is an apocalyptic number.

135431919 is a deficient number, since it is larger than the sum of its proper divisors (98972433).

135431919 is an equidigital number, since it uses as much as digits as its factorization.

135431919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 886 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 135431919 is about 11637.5220300543. The cubic root of 135431919 is about 513.5392912893.

The spelling of 135431919 in words is "one hundred thirty-five million, four hundred thirty-one thousand, nine hundred nineteen".