136343688156900 has 243 divisors, whose sum is σ = 497143998202761. Its totient is φ = 31163711100480.

The previous prime is 136343688156881. The next prime is 136343688156943. The reversal of 136343688156900 is 9651886343631.

The square root of 136343688156900 is 11676630.

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

136343688156900 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 4 + 3 + 68 + 8 + 1 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49083727736484 + 87259960420416 = 7005978^2 + 9341304^2 .

It is a super-2 number, since 2×136343688156900² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 2452064499 + ... + 2452120101.

Almost surely, 2^{136343688156900} is an apocalyptic number.

136343688156900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136343688156900 is the 11676630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136343688156900

136343688156900 is an abundant number, since it is smaller than the sum of its proper divisors (360800310045861).

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

136343688156900 is an frugal number, since it uses more digits than its factorization.

136343688156900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111240 (or 55620 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 136343688156900 in words is "one hundred thirty-six trillion, three hundred forty-three billion, six hundred eighty-eight million, one hundred fifty-six thousand, nine hundred".