1304872136100 has 729 divisors, whose sum is σ = 4632719768859. Its totient is φ = 307052928000.

The previous prime is 1304872136083. The next prime is 1304872136107. The reversal of 1304872136100 is 16312784031.

It is a happy number.

The square root of 1304872136100 is 1142310.

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

1304872136100 is a `hidden beast` number, since 1 + 30 + 4 + 8 + 7 + 2 + 1 + 3 + 610 + 0 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 1296961100964 + 7911035136 = 1138842^2 + 88944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1304872136107) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 12919526050 + ... + 12919526150.

Almost surely, 2^{1304872136100} is an apocalyptic number.

1304872136100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1304872136100 is the 1142310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304872136100

1304872136100 is an abundant number, since it is smaller than the sum of its proper divisors (3327847632759).

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

1304872136100 is a wasteful number, since it uses less digits than its factorization.

1304872136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 1304872136100 by its sum of digits (36), we get a square (46975396899600 = 6853860²).

1304872136100 divided by its sum of digits (36) gives a square (36246448225 = 190385²).

The spelling of 1304872136100 in words is "one trillion, three hundred four billion, eight hundred seventy-two million, one hundred thirty-six thousand, one hundred".