126165120 has 128 divisors (see below), whose sum is σ = 419783040. Its totient is φ = 32169984.

The previous prime is 126165037. The next prime is 126165121. The reversal of 126165120 is 21561621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×126165120² = 31835275009228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (126165121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42732 + ... + 45588.

It is an arithmetic number, because the mean of its divisors is an integer number (3279555).

Almost surely, 2^126165120 is an apocalyptic number.

126165120 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 126165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209891520).

126165120 is an abundant number, since it is smaller than the sum of its proper divisors (293617920).

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

126165120 is a wasteful number, since it uses less digits than its factorization.

126165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 126165120 is about 11232.3247816291. The cubic root of 126165120 is about 501.5486914901.

The spelling of 126165120 in words is "one hundred twenty-six million, one hundred sixty-five thousand, one hundred twenty".