126892159388164 has 45 divisors (see below), whose sum is σ = 235952049625257. Its totient is φ = 59710893376512.

The previous prime is 126892159388161. The next prime is 126892159388173. The reversal of 126892159388164 is 461883951298621.

It is a happy number.

The square root of 126892159388164 is 11264642.

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

It can be written as a sum of positive squares in 7 ways, for example, as 71384891285764 + 55507268102400 = 8448958^2 + 7450320^2 .

It is a super-2 number, since 2×126892159388164² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126892159388161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6510953332 + ... + 6510972820.

Almost surely, 2^{126892159388164} is an apocalyptic number.

126892159388164 is the 11264642-nd square number.

It is an amenable number.

126892159388164 is a deficient number, since it is larger than the sum of its proper divisors (109059890237093).

126892159388164 is an frugal number, since it uses more digits than its factorization.

126892159388164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39050 (or 19508 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 73.

The spelling of 126892159388164 in words is "one hundred twenty-six trillion, eight hundred ninety-two billion, one hundred fifty-nine million, three hundred eighty-eight thousand, one hundred sixty-four".