136051333220016 has 720 divisors, whose sum is σ = 435248119837440. Its totient is φ = 41024454704640.

The previous prime is 136051333220003. The next prime is 136051333220029. The reversal of 136051333220016 is 610022333150631.

136051333220016 is a `hidden beast` number, since 1 + 3 + 60 + 51 + 3 + 332 + 200 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (136051333220003) and next prime (136051333220029).

It is a super-2 number, since 2×136051333220016² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25283649646 + ... + 25283655026.

It is an arithmetic number, because the mean of its divisors is an integer number (604511277552).

Almost surely, 2^{136051333220016} is an apocalyptic number.

136051333220016 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 136051333220016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217624059918720).

136051333220016 is an abundant number, since it is smaller than the sum of its proper divisors (299196786617424).

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

136051333220016 is a wasteful number, since it uses less digits than its factorization.

136051333220016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 136051333220016 its reverse (610022333150631), we get a palindrome (746073666370647).

The spelling of 136051333220016 in words is "one hundred thirty-six trillion, fifty-one billion, three hundred thirty-three million, two hundred twenty thousand, sixteen".