136211188624 has 105 divisors (see below), whose sum is σ = 309042508177. Its totient is φ = 58159211712.

The previous prime is 136211188621. The next prime is 136211188657. The reversal of 136211188624 is 426881112631.

The square root of 136211188624 is 369068.

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

It can be written as a sum of positive squares in only one way, i.e., 8962030224 + 127249158400 = 94668^2 + 356720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136211188621) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 506361162 + ... + 506361430.

Almost surely, 2^136211188624 is an apocalyptic number.

136211188624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

136211188624 is the 369068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136211188624

136211188624 is an abundant number, since it is smaller than the sum of its proper divisors (172831319553).

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

136211188624 is an frugal number, since it uses more digits than its factorization.

136211188624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 278 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The spelling of 136211188624 in words is "one hundred thirty-six billion, two hundred eleven million, one hundred eighty-eight thousand, six hundred twenty-four".