126961148160 has 1728 divisors, whose sum is σ = 587730124800. Its totient is φ = 25035816960.

The previous prime is 126961148147. The next prime is 126961148177. The reversal of 126961148160 is 61841169621.

126961148160 is a `hidden beast` number, since 1 + 26 + 9 + 611 + 4 + 8 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×126961148160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 999694017 + ... + 999694143.

It is an arithmetic number, because the mean of its divisors is an integer number (340121600).

Almost surely, 2^126961148160 is an apocalyptic number.

126961148160 is a gapful number since it is divisible by the number (10) 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 126961148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293865062400).

126961148160 is an abundant number, since it is smaller than the sum of its proper divisors (460768976640).

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

126961148160 is a wasteful number, since it uses less digits than its factorization.

126961148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 126961148160 in words is "one hundred twenty-six billion, nine hundred sixty-one million, one hundred forty-eight thousand, one hundred sixty".