126659377152 has 1296 divisors, whose sum is σ = 500432423400. Its totient is φ = 30656102400.

The previous prime is 126659377123. The next prime is 126659377231. The reversal of 126659377152 is 251773956621.

It is a happy number.

126659377152 is a `hidden beast` number, since 1 + 266 + 5 + 9 + 377 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×126659377152² (a number of 23 digits) contains 22 as substring.

Its product of digits (4762800) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 2076383202 + ... + 2076383262.

Almost surely, 2^126659377152 is an apocalyptic number.

126659377152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126659377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250216211700).

126659377152 is an abundant number, since it is smaller than the sum of its proper divisors (373773046248).

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

126659377152 is a wasteful number, since it uses less digits than its factorization.

126659377152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 103 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 126659377152 in words is "one hundred twenty-six billion, six hundred fifty-nine million, three hundred seventy-seven thousand, one hundred fifty-two".