126415392 has 48 divisors (see below), whose sum is σ = 333359712. Its totient is φ = 41945600.

The previous prime is 126415381. The next prime is 126415433. The reversal of 126415392 is 293514621.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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, 18892 + ... + 24692.

It is an arithmetic number, because the mean of its divisors is an integer number (6944994).

Almost surely, 2^126415392 is an apocalyptic number.

126415392 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 126415392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166679856).

126415392 is an abundant number, since it is smaller than the sum of its proper divisors (206944320).

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

126415392 is a wasteful number, since it uses less digits than its factorization.

126415392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6033 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 126415392 is about 11243.4599656867. The cubic root of 126415392 is about 501.8801108387.

The spelling of 126415392 in words is "one hundred twenty-six million, four hundred fifteen thousand, three hundred ninety-two".