136576440 has 384 divisors, whose sum is σ = 597542400. Its totient is φ = 26127360.

The previous prime is 136576439. The next prime is 136576459. The reversal of 136576440 is 44675631.

It is a happy number.

136576440 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 7 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136576395 and 136576404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360171 + ... + 360549.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^136576440 is an apocalyptic number.

136576440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136576440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298771200).

136576440 is an abundant number, since it is smaller than the sum of its proper divisors (460965960).

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

136576440 is a wasteful number, since it uses less digits than its factorization.

136576440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 136576440 is about 11686.5923176947. The cubic root of 136576440 is about 514.9818575316.

The spelling of 136576440 in words is "one hundred thirty-six million, five hundred seventy-six thousand, four hundred forty".