136729852900 has 81 divisors (see below), whose sum is σ = 300449266761. Its totient is φ = 54010085280.

The previous prime is 136729852871. The next prime is 136729852957. The reversal of 136729852900 is 9258927631.

The square root of 136729852900 is 369770.

It is a perfect power (a square), and thus also a powerful number.

136729852900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 49222747044 + 87507105856 = 221862^2 + 295816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 380862921 + ... + 380863279.

Almost surely, 2^136729852900 is an apocalyptic number.

136729852900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136729852900 is the 369770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136729852900

136729852900 is an abundant number, since it is smaller than the sum of its proper divisors (163719413861).

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

136729852900 is an equidigital number, since it uses as much as digits as its factorization.

136729852900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 136729852900 in words is "one hundred thirty-six billion, seven hundred twenty-nine million, eight hundred fifty-two thousand, nine hundred".