136892600100 has 135 divisors (see below), whose sum is σ = 443859697281. Its totient is φ = 36495813600.

The previous prime is 136892600093. The next prime is 136892600101. The reversal of 136892600100 is 1006298631.

The square root of 136892600100 is 369990.

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

136892600100 is a `hidden beast` number, since 1 + 36 + 8 + 9 + 2 + 600 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49281336036 + 87611264064 = 221994^2 + 295992^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is not an unprimeable number, because it can be changed into a prime (136892600101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33297045 + ... + 33301155.

Almost surely, 2^136892600100 is an apocalyptic number.

136892600100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136892600100 is the 369990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136892600100

136892600100 is an abundant number, since it is smaller than the sum of its proper divisors (306967097181).

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

136892600100 is an frugal number, since it uses more digits than its factorization.

136892600100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 136892600100 by its sum of digits (36), we get a square (4928133603600 = 2219940²).

136892600100 divided by its sum of digits (36) gives a square (3802572225 = 61665²).

Adding to 136892600100 its reverse (1006298631), we get a palindrome (137898898731).

The spelling of 136892600100 in words is "one hundred thirty-six billion, eight hundred ninety-two million, six hundred thousand, one hundred".