136904040360000 has 315 divisors, whose sum is σ = 490381573331793. Its totient is φ = 36505872000000.

The previous prime is 136904040359953. The next prime is 136904040360013. The reversal of 136904040360000 is 63040409631.

The square root of 136904040360000 is 11700600.

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

136904040360000 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 0 + 4 + 0 + 40 + 3 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 100801439360064 + 36102600999936 = 10039992^2 + 6008544^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7020350250 + ... + 7020369750.

Almost surely, 2^{136904040360000} is an apocalyptic number.

136904040360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136904040360000 is the 11700600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136904040360000

136904040360000 is an abundant number, since it is smaller than the sum of its proper divisors (353477532971793).

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

136904040360000 is an frugal number, since it uses more digits than its factorization.

136904040360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39040 (or 19511 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

136904040360000 divided by its sum of digits (36) gives a square (3802890010000 = 1950100²).

Adding to 136904040360000 its reverse (63040409631), we get a palindrome (136967080769631).

The spelling of 136904040360000 in words is "one hundred thirty-six trillion, nine hundred four billion, forty million, three hundred sixty thousand".