126155568000 has 1536 divisors, whose sum is σ = 548543923200. Its totient is φ = 25073664000.

The previous prime is 126155567999. The next prime is 126155568001. The reversal of 126155568000 is 865551621.

It is an interprime number because it is at equal distance from previous prime (126155567999) and next prime (126155568001).

It is a self number, because there is not a number n which added to its sum of digits gives 126155568000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126155568001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1179023947 + ... + 1179024053.

It is an arithmetic number, because the mean of its divisors is an integer number (357124950).

Almost surely, 2^126155568000 is an apocalyptic number.

126155568000 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 126155568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274271961600).

126155568000 is an abundant number, since it is smaller than the sum of its proper divisors (422388355200).

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

126155568000 is a wasteful number, since it uses less digits than its factorization.

126155568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 126155568000 in words is "one hundred twenty-six billion, one hundred fifty-five million, five hundred sixty-eight thousand".