126353952 has 192 divisors, whose sum is σ = 399168000. Its totient is φ = 38755584.

The previous prime is 126353947. The next prime is 126353963. The reversal of 126353952 is 259353621.

126353952 is a `hidden beast` number, since 1 + 263 + 5 + 395 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705799 + ... + 705977.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2^126353952 is an apocalyptic number.

126353952 is a gapful number since it is divisible by the number (12) 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 126353952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

126353952 is an abundant number, since it is smaller than the sum of its proper divisors (272814048).

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

126353952 is a wasteful number, since it uses less digits than its factorization.

126353952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 126353952 is about 11240.7273785997. The cubic root of 126353952 is about 501.7987902801.

The spelling of 126353952 in words is "one hundred twenty-six million, three hundred fifty-three thousand, nine hundred fifty-two".