136009150620416 has 144 divisors (see below), whose sum is σ = 282925476288000. Its totient is φ = 65206164516864.

The previous prime is 136009150620397. The next prime is 136009150620461. The reversal of 136009150620416 is 614026051900631.

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 15 ways as a sum of consecutive naturals, for example, 207670235 + ... + 208324133.

It is an arithmetic number, because the mean of its divisors is an integer number (1964760252000).

Almost surely, 2^{136009150620416} is an apocalyptic number.

136009150620416 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 136009150620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141462738144000).

136009150620416 is an abundant number, since it is smaller than the sum of its proper divisors (146916325667584).

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

136009150620416 is an equidigital number, since it uses as much as digits as its factorization.

136009150620416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654314 (or 654300 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 136009150620416 in words is "one hundred thirty-six trillion, nine billion, one hundred fifty million, six hundred twenty thousand, four hundred sixteen".