136476144 has 80 divisors (see below), whose sum is σ = 447709440. Its totient is φ = 38992320.

The previous prime is 136476139. The next prime is 136476157. The reversal of 136476144 is 441674631.

136476144 is a `hidden beast` number, since 1 + 3 + 647 + 6 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×136476144² = 37251475762217472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 136476099 and 136476108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19542 + ... + 25589.

It is an arithmetic number, because the mean of its divisors is an integer number (5596368).

Almost surely, 2^136476144 is an apocalyptic number.

136476144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136476144 is an abundant number, since it is smaller than the sum of its proper divisors (311233296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136476144 is a wasteful number, since it uses less digits than its factorization.

136476144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45155 (or 45143 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 136476144 is about 11682.3004583858. The cubic root of 136476144 is about 514.8557663139.

It can be divided in two parts, 13647 and 6144, that added together give a palindrome (19791).

The spelling of 136476144 in words is "one hundred thirty-six million, four hundred seventy-six thousand, one hundred forty-four".