1307066292900 has 135 divisors (see below), whose sum is σ = 4237326118641. Its totient is φ = 348523572960.

The previous prime is 1307066292869. The next prime is 1307066292967. The reversal of 1307066292900 is 92926607031.

It is a happy number.

The square root of 1307066292900 is 1143270.

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

1307066292900 is a `hidden beast` number, since 13 + 0 + 7 + 0 + 6 + 629 + 2 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 470543865444 + 836522427456 = 685962^2 + 914616^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 102887949 + ... + 102900651.

Almost surely, 2^{1307066292900} is an apocalyptic number.

1307066292900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1307066292900 is the 1143270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307066292900

1307066292900 is an abundant number, since it is smaller than the sum of its proper divisors (2930259825741).

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

1307066292900 is an frugal number, since it uses more digits than its factorization.

1307066292900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25432 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 1307066292900 in words is "one trillion, three hundred seven billion, sixty-six million, two hundred ninety-two thousand, nine hundred".