136424442102416 has 40 divisors (see below), whose sum is σ = 299636679525120. Its totient is φ = 59651173063296.

The previous prime is 136424442102331. The next prime is 136424442102439. The reversal of 136424442102416 is 614201244424631.

It is a happy number.

It is a super-2 number, since 2×136424442102416² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17260173440 + ... + 17260181343.

It is an arithmetic number, because the mean of its divisors is an integer number (7490916988128).

Almost surely, 2^{136424442102416} is an apocalyptic number.

136424442102416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136424442102416 is an abundant number, since it is smaller than the sum of its proper divisors (163212237422704).

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

136424442102416 is a wasteful number, since it uses less digits than its factorization.

136424442102416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34520354823 (or 34520354817 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

The spelling of 136424442102416 in words is "one hundred thirty-six trillion, four hundred twenty-four billion, four hundred forty-two million, one hundred two thousand, four hundred sixteen".