136072431 has 24 divisors (see below), whose sum is σ = 215536464. Its totient is φ = 82037760.

The previous prime is 136072429. The next prime is 136072457. The reversal of 136072431 is 134270631.

136072431 is a `hidden beast` number, since 1 + 3 + 607 + 24 + 31 = 666.

136072431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 136072431 - 2¹ = 136072429 is a prime.

It is a super-2 number, since 2×136072431² = 37031412956499522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136072395 and 136072404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136072331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16015 + ... + 22991.

It is an arithmetic number, because the mean of its divisors is an integer number (8980686).

Almost surely, 2^136072431 is an apocalyptic number.

136072431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136072431 is a deficient number, since it is larger than the sum of its proper divisors (79464033).

136072431 is a wasteful number, since it uses less digits than its factorization.

136072431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191 (or 7188 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 136072431 is about 11665.0088298295. The cubic root of 136072431 is about 514.3475962905.

It can be divided in two parts, 136072 and 431, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 136072431 in words is "one hundred thirty-six million, seventy-two thousand, four hundred thirty-one".