126605952 has 192 divisors, whose sum is σ = 405437760. Its totient is φ = 37601280.

The previous prime is 126605951. The next prime is 126605981. The reversal of 126605952 is 259506621.

126605952 is a `hidden beast` number, since 1 + 2 + 6 + 60 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (126605951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1229133 + ... + 1229235.

It is an arithmetic number, because the mean of its divisors is an integer number (2111655).

Almost surely, 2^126605952 is an apocalyptic number.

126605952 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 126605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202718880).

126605952 is an abundant number, since it is smaller than the sum of its proper divisors (278831808).

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

126605952 is a wasteful number, since it uses less digits than its factorization.

126605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 126605952 is about 11251.9310342714. The cubic root of 126605952 is about 502.1321641612.

The spelling of 126605952 in words is "one hundred twenty-six million, six hundred five thousand, nine hundred fifty-two".