136084150440 has 768 divisors, whose sum is σ = 545175360000. Its totient is φ = 30467114496.

The previous prime is 136084150403. The next prime is 136084150519. The reversal of 136084150440 is 44051480631.

136084150440 is a `hidden beast` number, since 1 + 3 + 60 + 8 + 4 + 150 + 440 = 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 = 136084150395 and 136084150404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227185261 + ... + 227185859.

It is an arithmetic number, because the mean of its divisors is an integer number (709863750).

Almost surely, 2^136084150440 is an apocalyptic number.

136084150440 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 136084150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272587680000).

136084150440 is an abundant number, since it is smaller than the sum of its proper divisors (409091209560).

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

136084150440 is an equidigital number, since it uses as much as digits as its factorization.

136084150440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 136084150440 in words is "one hundred thirty-six billion, eighty-four million, one hundred fifty thousand, four hundred forty".