136922006016 has 400 divisors, whose sum is σ = 435824098776. Its totient is φ = 42647814144.

The previous prime is 136922005963. The next prime is 136922006029. The reversal of 136922006016 is 610600229631.

It is a happy number.

136922006016 is a `hidden beast` number, since 1 + 369 + 220 + 0 + 60 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130534799616 + 6387206400 = 361296^2 + 79920^2 .

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 39 ways as a sum of consecutive naturals, for example, 110688150 + ... + 110689386.

Almost surely, 2^136922006016 is an apocalyptic number.

136922006016 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 136922006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217912049388).

136922006016 is an abundant number, since it is smaller than the sum of its proper divisors (298902092760).

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

136922006016 is a wasteful number, since it uses less digits than its factorization.

136922006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 136922006016 in words is "one hundred thirty-six billion, nine hundred twenty-two million, six thousand, sixteen".