136209520512 has 512 divisors, whose sum is σ = 462055104000. Its totient is φ = 39130988544.

The previous prime is 136209520453. The next prime is 136209520583. The reversal of 136209520512 is 215025902631.

It is a happy number.

136209520512 is a `hidden beast` number, since 1 + 3 + 620 + 9 + 5 + 20 + 5 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106164223 + ... + 106165505.

It is an arithmetic number, because the mean of its divisors is an integer number (902451375).

Almost surely, 2^136209520512 is an apocalyptic number.

136209520512 is a gapful number since it is divisible by the number (12) 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 136209520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231027552000).

136209520512 is an abundant number, since it is smaller than the sum of its proper divisors (325845583488).

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

136209520512 is a wasteful number, since it uses less digits than its factorization.

136209520512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 136209520512 in words is "one hundred thirty-six billion, two hundred nine million, five hundred twenty thousand, five hundred twelve".