137245934470401 has 45 divisors (see below), whose sum is σ = 207534839441809. Its totient is φ = 90389148784344.

The previous prime is 137245934470373. The next prime is 137245934470457. The reversal of 137245934470401 is 104074439542731.

The square root of 137245934470401 is 11715201.

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

137245934470401 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 4 + 593 + 4 + 4 + 7 + 0 + 40 + 1 = 666.

It is not a de Polignac number, because 137245934470401 - 2¹¹ = 137245934468353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137245934474401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8751247306 + ... + 8751262988.

Almost surely, 2^{137245934470401} is an apocalyptic number.

137245934470401 is the 11715201-st square number.

137245934470401 is the 5857601-st centered octagonal number.

It is an amenable number.

137245934470401 is a deficient number, since it is larger than the sum of its proper divisors (70288904971408).

137245934470401 is an frugal number, since it uses more digits than its factorization.

137245934470401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31544 (or 15769 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 137245934470401 in words is "one hundred thirty-seven trillion, two hundred forty-five billion, nine hundred thirty-four million, four hundred seventy thousand, four hundred one".