126870981952 has 168 divisors, whose sum is σ = 298548425000. Its totient is φ = 53137244160.

The previous prime is 126870981931. The next prime is 126870981953. The reversal of 126870981952 is 259189078621.

It can be written as a sum of positive squares in 4 ways, for example, as 351337536 + 126519644416 = 18744^2 + 355696^2 .

It is a super-2 number, since 2×126870981952² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126870981953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101577424 + ... + 101578672.

Almost surely, 2^126870981952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126870981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149274212500).

126870981952 is an abundant number, since it is smaller than the sum of its proper divisors (171677443048).

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

126870981952 is a wasteful number, since it uses less digits than its factorization.

126870981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 126870981952 in words is "one hundred twenty-six billion, eight hundred seventy million, nine hundred eighty-one thousand, nine hundred fifty-two".