13872280151601 has 135 divisors (see below), whose sum is σ = 22887284987721. Its totient is φ = 8371658384496.

The previous prime is 13872280151593. The next prime is 13872280151633. The reversal of 13872280151601 is 10615108227831.

The square root of 13872280151601 is 3724551.

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

13872280151601 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 2 + 28 + 0 + 15 + 1 + 601 = 666.

It is not a de Polignac number, because 13872280151601 - 2³ = 13872280151593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13872280151651) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14648658610 + ... + 14648659556.

Almost surely, 2^{13872280151601} is an apocalyptic number.

13872280151601 is the 3724551-st square number.

13872280151601 is the 1862276-th centered octagonal number.

It is an amenable number.

13872280151601 is a deficient number, since it is larger than the sum of its proper divisors (9015004836120).

13872280151601 is an frugal number, since it uses more digits than its factorization.

13872280151601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 13872280151601 in words is "thirteen trillion, eight hundred seventy-two billion, two hundred eighty million, one hundred fifty-one thousand, six hundred one".