136584428288 has 486 divisors, whose sum is σ = 364409178588. Its totient is φ = 50899537920.

The previous prime is 136584428263. The next prime is 136584428291. The reversal of 136584428288 is 882824485631.

It is a happy number.

It is a super-2 number, since 2×136584428288² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1276489931 + ... + 1276490037.

Almost surely, 2^136584428288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136584428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182204589294).

136584428288 is an abundant number, since it is smaller than the sum of its proper divisors (227824750300).

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

136584428288 is a wasteful number, since it uses less digits than its factorization.

136584428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 156 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 59.

The spelling of 136584428288 in words is "one hundred thirty-six billion, five hundred eighty-four million, four hundred twenty-eight thousand, two hundred eighty-eight".