136820923200 has 1260 divisors, whose sum is σ = 577386073572. Its totient is φ = 31585075200.

The previous prime is 136820923159. The next prime is 136820923223. The reversal of 136820923200 is 2329028631.

136820923200 is a `hidden beast` number, since 1 + 368 + 2 + 0 + 92 + 3 + 200 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 61845721344 + 74975201856 = 248688^2 + 273816^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 486907060 + ... + 486907340.

Almost surely, 2^136820923200 is an apocalyptic number.

136820923200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136820923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288693036786).

136820923200 is an abundant number, since it is smaller than the sum of its proper divisors (440565150372).

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

136820923200 is a wasteful number, since it uses less digits than its factorization.

136820923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 136820923200 in words is "one hundred thirty-six billion, eight hundred twenty million, nine hundred twenty-three thousand, two hundred".