126743904 has 72 divisors (see below), whose sum is σ = 411924240. Its totient is φ = 36211968.

The previous prime is 126743899. The next prime is 126743933. The reversal of 126743904 is 409347621.

126743904 is a `hidden beast` number, since 1 + 267 + 4 + 390 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×126743904² = 32128034402322432, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29419 + ... + 33450.

It is an arithmetic number, because the mean of its divisors is an integer number (5721170).

Almost surely, 2^126743904 is an apocalyptic number.

126743904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126743904 is an abundant number, since it is smaller than the sum of its proper divisors (285180336).

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

126743904 is a wasteful number, since it uses less digits than its factorization.

126743904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62892 (or 62881 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 126743904 is about 11258.0595130777. The cubic root of 126743904 is about 502.3144752114.

The spelling of 126743904 in words is "one hundred twenty-six million, seven hundred forty-three thousand, nine hundred four".