136242192100 has 81 divisors (see below), whose sum is σ = 343979453307. Its totient is φ = 46702750080.

The previous prime is 136242192089. The next prime is 136242192101. The reversal of 136242192100 is 1291242631.

The square root of 136242192100 is 369110.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2970468004 + 133271724096 = 54502^2 + 365064^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (136242192101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25835064 + ... + 25840336.

Almost surely, 2^136242192100 is an apocalyptic number.

136242192100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136242192100 is the 369110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136242192100

136242192100 is an abundant number, since it is smaller than the sum of its proper divisors (207737261207).

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

136242192100 is an frugal number, since it uses more digits than its factorization.

136242192100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10574 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 136242192100 by its product of nonzero digits (5184), we get a square (706279523846400 = 26575920²).

The spelling of 136242192100 in words is "one hundred thirty-six billion, two hundred forty-two million, one hundred ninety-two thousand, one hundred".