126356160 has 112 divisors (see below), whose sum is σ = 458516736. Its totient is φ = 28879872.

The previous prime is 126356159. The next prime is 126356173. The reversal of 126356160 is 61653621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2682 + ... + 16121.

Almost surely, 2^126356160 is an apocalyptic number.

126356160 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 126356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229258368).

126356160 is an abundant number, since it is smaller than the sum of its proper divisors (332160576).

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

126356160 is a wasteful number, since it uses less digits than its factorization.

126356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18830 (or 18820 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 126356160 is about 11240.8255924554. The cubic root of 126356160 is about 501.8017131942.

It can be divided in two parts, 1263561 and 60, that added together give a palindrome (1263621).

The spelling of 126356160 in words is "one hundred twenty-six million, three hundred fifty-six thousand, one hundred sixty".