126132408 has 96 divisors (see below), whose sum is σ = 354790800. Its totient is φ = 40449024.

The previous prime is 126132407. The next prime is 126132449. The reversal of 126132408 is 804231621.

126132408 is a `hidden beast` number, since 1 + 2 + 613 + 2 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126132407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300823 + ... + 301241.

Almost surely, 2^126132408 is an apocalyptic number.

126132408 is a gapful number since it is divisible by the number (18) 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 126132408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177395400).

126132408 is an abundant number, since it is smaller than the sum of its proper divisors (228658392).

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

126132408 is a wasteful number, since it uses less digits than its factorization.

126132408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126132408 is about 11230.8685327538. The cubic root of 126132408 is about 501.5053406839.

The spelling of 126132408 in words is "one hundred twenty-six million, one hundred thirty-two thousand, four hundred eight".