126193408 has 72 divisors (see below), whose sum is σ = 281753136. Its totient is φ = 55910400.

The previous prime is 126193399. The next prime is 126193409. The reversal of 126193408 is 804391621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126193409) 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 7 ways as a sum of consecutive naturals, for example, 114910 + ... + 116002.

It is an arithmetic number, because the mean of its divisors is an integer number (3913238).

Almost surely, 2^126193408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140876568).

126193408 is an abundant number, since it is smaller than the sum of its proper divisors (155559728).

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

126193408 is a wasteful number, since it uses less digits than its factorization.

126193408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 126193408 is about 11233.5839339011. The cubic root of 126193408 is about 501.5861734532.

The spelling of 126193408 in words is "one hundred twenty-six million, one hundred ninety-three thousand, four hundred eight".