136981412100 has 405 divisors, whose sum is σ = 471598483083. Its totient is φ = 33256604160.

The previous prime is 136981412081. The next prime is 136981412111. The reversal of 136981412100 is 1214189631.

The square root of 136981412100 is 370110.

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

136981412100 is a `hidden beast` number, since 1 + 3 + 69 + 81 + 412 + 100 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 58952811204 + 78028600896 = 242802^2 + 279336^2 .

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 134 ways as a sum of consecutive naturals, for example, 1876457664 + ... + 1876457736.

Almost surely, 2^136981412100 is an apocalyptic number.

136981412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136981412100 is the 370110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136981412100

136981412100 is an abundant number, since it is smaller than the sum of its proper divisors (334617070983).

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

136981412100 is an equidigital number, since it uses as much as digits as its factorization.

136981412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 136981412100 by its sum of digits (36), we get a square (4931330835600 = 2220660²).

136981412100 divided by its sum of digits (36) gives a square (3805039225 = 61685²).

It can be divided in two parts, 136981 and 412100, that added together give a square (549081 = 741²).

The spelling of 136981412100 in words is "one hundred thirty-six billion, nine hundred eighty-one million, four hundred twelve thousand, one hundred".