126020160 has 504 divisors, whose sum is σ = 542056320. Its totient is φ = 26707968.

The previous prime is 126020137. The next prime is 126020171. The reversal of 126020160 is 61020621.

It is a happy number.

126020160 is a `hidden beast` number, since 1 + 2 + 602 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2681257 + ... + 2681303.

Almost surely, 2^126020160 is an apocalyptic number.

126020160 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 126020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271028160).

126020160 is an abundant number, since it is smaller than the sum of its proper divisors (416036160).

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

126020160 is a wasteful number, since it uses less digits than its factorization.

126020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 126020160 is about 11225.8701221776. The cubic root of 126020160 is about 501.3565296596.

Adding to 126020160 its reverse (61020621), we get a palindrome (187040781).

It can be divided in two parts, 1260 and 20160, that multiplied together give a square (25401600 = 5040²).

The spelling of 126020160 in words is "one hundred twenty-six million, twenty thousand, one hundred sixty".