126522720 has 144 divisors (see below), whose sum is σ = 442495872. Its totient is φ = 32901120.

The previous prime is 126522677. The next prime is 126522787. The reversal of 126522720 is 27225621.

126522720 is a `hidden beast` number, since 1 + 2 + 652 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57969 + ... + 60111.

It is an arithmetic number, because the mean of its divisors is an integer number (3072888).

Almost surely, 2^126522720 is an apocalyptic number.

126522720 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 126522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221247936).

126522720 is an abundant number, since it is smaller than the sum of its proper divisors (315973152).

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

126522720 is a wasteful number, since it uses less digits than its factorization.

126522720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 126522720 is about 11248.2318610527. The cubic root of 126522720 is about 502.0221044959.

The spelling of 126522720 in words is "one hundred twenty-six million, five hundred twenty-two thousand, seven hundred twenty".