126825600 has 192 divisors, whose sum is σ = 456086880. Its totient is φ = 30720000.

The previous prime is 126825547. The next prime is 126825607. The reversal of 126825600 is 6528621.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (126825607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105000 + ... + 106200.

Almost surely, 2^126825600 is an apocalyptic number.

126825600 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 126825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228043440).

126825600 is an abundant number, since it is smaller than the sum of its proper divisors (329261280).

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

126825600 is a wasteful number, since it uses less digits than its factorization.

With its successor (126825601) it forms an eRAP, since the sums of their prime factors are consecutive (1239 and 1240).

126825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 126825600 is about 11261.6872625730. The cubic root of 126825600 is about 502.4223785453.

The spelling of 126825600 in words is "one hundred twenty-six million, eight hundred twenty-five thousand, six hundred".