126645120 has 320 divisors, whose sum is σ = 518364000. Its totient is φ = 28864512.

The previous prime is 126645097. The next prime is 126645173. The reversal of 126645120 is 21546621.

126645120 is a `hidden beast` number, since 1 + 2 + 6 + 645 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362706 + ... + 363054.

Almost surely, 2^126645120 is an apocalyptic number.

126645120 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 126645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259182000).

126645120 is an abundant number, since it is smaller than the sum of its proper divisors (391718880).

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

126645120 is an equidigital number, since it uses as much as digits as its factorization.

126645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126645120 is about 11253.6714009251. The cubic root of 126645120 is about 502.1839402546.

The spelling of 126645120 in words is "one hundred twenty-six million, six hundred forty-five thousand, one hundred twenty".