136188900 has 81 divisors (see below), whose sum is σ = 427976731. Its totient is φ = 36223680.

The previous prime is 136188889. The next prime is 136188907. The reversal of 136188900 is 9881631.

The square root of 136188900 is 11670.

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 22638564 + 113550336 = 4758^2 + 10656^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136188907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 349906 + ... + 350294.

Almost surely, 2^136188900 is an apocalyptic number.

136188900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136188900 is the 11670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136188900

136188900 is an abundant number, since it is smaller than the sum of its proper divisors (291787831).

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

136188900 is a wasteful number, since it uses less digits than its factorization.

136188900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

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

The cubic root of 136188900 is about 514.4943036143.

Multiplying 136188900 by its sum of digits (36), we get a square (4902800400 = 70020²).

136188900 divided by its sum of digits (36) gives a square (3783025 = 1945²).

The spelling of 136188900 in words is "one hundred thirty-six million, one hundred eighty-eight thousand, nine hundred".