126449100 has 180 divisors, whose sum is σ = 417801384. Its totient is φ = 33073920.

The previous prime is 126449053. The next prime is 126449137. The reversal of 126449100 is 1944621.

126449100 is a `hidden beast` number, since 1 + 2 + 644 + 9 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 542584 + ... + 542816.

Almost surely, 2^126449100 is an apocalyptic number.

126449100 is a gapful number since it is divisible by the number (10) 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 126449100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208900692).

126449100 is an abundant number, since it is smaller than the sum of its proper divisors (291352284).

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

126449100 is a wasteful number, since it uses less digits than its factorization.

126449100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 126449100 is about 11244.9588705339. The cubic root of 126449100 is about 501.9247147725.

The spelling of 126449100 in words is "one hundred twenty-six million, four hundred forty-nine thousand, one hundred".