136906848518400 has 567 divisors, whose sum is σ = 508160152800391. Its totient is φ = 36501753323520.

The previous prime is 136906848518383. The next prime is 136906848518501. The reversal of 136906848518400 is 4815848609631.

The square root of 136906848518400 is 11700720.

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

136906848518400 is a `hidden beast` number, since 1 + 3 + 6 + 90 + 68 + 4 + 85 + 1 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48573316935936 + 88333531582464 = 6969456^2 + 9398592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 25273552492 + ... + 25273557908.

Almost surely, 2^{136906848518400} is an apocalyptic number.

136906848518400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136906848518400 is the 11700720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136906848518400

136906848518400 is an abundant number, since it is smaller than the sum of its proper divisors (371253304281991).

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

136906848518400 is an frugal number, since it uses more digits than its factorization.

136906848518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10878 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 136906848518400 in words is "one hundred thirty-six trillion, nine hundred six billion, eight hundred forty-eight million, five hundred eighteen thousand, four hundred".