137733203088441 has 27 divisors (see below), whose sum is σ = 199388581255461. Its totient is φ = 91619220315384.

The previous prime is 137733203088401. The next prime is 137733203088461. The reversal of 137733203088441 is 144880302337731.

The square root of 137733203088441 is 11735979.

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

137733203088441 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 3 + 320 + 308 + 8 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 137733203088441 - 2²¹ = 137733200991289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137733203088401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16864597740 + ... + 16864605906.

Almost surely, 2^{137733203088441} is an apocalyptic number.

137733203088441 is the 11735979-th square number.

137733203088441 is the 5867990-th centered octagonal number.

It is an amenable number.

137733203088441 is a deficient number, since it is larger than the sum of its proper divisors (61655378167020).

137733203088441 is an frugal number, since it uses more digits than its factorization.

137733203088441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17298 (or 8649 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 137733203088441 in words is "one hundred thirty-seven trillion, seven hundred thirty-three billion, two hundred three million, eighty-eight thousand, four hundred forty-one".