126736169536656 has 135 divisors (see below), whose sum is σ = 355661461945881. Its totient is φ = 42129435370752.

The previous prime is 126736169536651. The next prime is 126736169536661. The reversal of 126736169536656 is 656635961637621.

The square root of 126736169536656 is 11257716.

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

126736169536656 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 36 + 1 + 6 + 9 + 536 + 6 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (126736169536651) and next prime (126736169536661).

It can be written as a sum of positive squares in only one way, i.e., 5745321363600 + 120990848173056 = 2396940^2 + 10999584^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (126736169536651) 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, 59305646820 + ... + 59305648956.

Almost surely, 2^{126736169536656} is an apocalyptic number.

126736169536656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126736169536656 is the 11257716-th square number.

It is an amenable number.

126736169536656 is an abundant number, since it is smaller than the sum of its proper divisors (228925292409225).

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

126736169536656 is an frugal number, since it uses more digits than its factorization.

126736169536656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 2581 counting only the distinct ones).

The product of its digits is 1322697600, while the sum is 72.

The spelling of 126736169536656 in words is "one hundred twenty-six trillion, seven hundred thirty-six billion, one hundred sixty-nine million, five hundred thirty-six thousand, six hundred fifty-six".