126556160 has 96 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 47579136.

The previous prime is 126556153. The next prime is 126556193. The reversal of 126556160 is 61655621.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173717 + ... + 174443.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2^126556160 is an apocalyptic number.

126556160 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 126556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

126556160 is an abundant number, since it is smaller than the sum of its proper divisors (195409120).

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

126556160 is an equidigital number, since it uses as much as digits as its factorization.

126556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 126556160 is about 11249.7182186933. The cubic root of 126556160 is about 502.0663288070.

It can be divided in two parts, 1265561 and 60, that added together give a palindrome (1265621).

The spelling of 126556160 in words is "one hundred twenty-six million, five hundred fifty-six thousand, one hundred sixty".