2009136153600 has 297 divisors, whose sum is σ = 7196094808383. Its totient is φ = 535588208640.

The previous prime is 2009136153527. The next prime is 2009136153649. The reversal of 2009136153600 is 63516319002.

The square root of 2009136153600 is 1417440.

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

2009136153600 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 1 + 3 + 615 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77881181184 + 1931254972416 = 279072^2 + 1389696^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 680369724 + ... + 680372676.

Almost surely, 2^{2009136153600} is an apocalyptic number.

2009136153600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2009136153600 is the 1417440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009136153600

2009136153600 is an abundant number, since it is smaller than the sum of its proper divisors (5186958654783).

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

2009136153600 is an frugal number, since it uses more digits than its factorization.

2009136153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 2009136153600 by its sum of digits (36), we get a square (72328901529600 = 8504640²).

2009136153600 divided by its sum of digits (36) gives a square (55809337600 = 236240²).

The spelling of 2009136153600 in words is "two trillion, nine billion, one hundred thirty-six million, one hundred fifty-three thousand, six hundred".