136229423616 has 1440 divisors, whose sum is σ = 523346503680. Its totient is φ = 34936012800.

The previous prime is 136229423587. The next prime is 136229423623. The reversal of 136229423616 is 616324922631.

136229423616 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 2 + 9 + 4 + 23 + 616 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4394497521 + ... + 4394497551.

It is an arithmetic number, because the mean of its divisors is an integer number (363435072).

Almost surely, 2^136229423616 is an apocalyptic number.

136229423616 is a gapful number since it is divisible by the number (16) 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 136229423616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261673251840).

136229423616 is an abundant number, since it is smaller than the sum of its proper divisors (387117080064).

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

136229423616 is a wasteful number, since it uses less digits than its factorization.

136229423616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 79 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 136229423616 in words is "one hundred thirty-six billion, two hundred twenty-nine million, four hundred twenty-three thousand, six hundred sixteen".