126945600 has 168 divisors, whose sum is σ = 425196000. Its totient is φ = 33146880.

The previous prime is 126945583. The next prime is 126945619. The reversal of 126945600 is 6549621.

It is a super-2 number, since 2×126945600² = 32230370718720000, which contains 22 as substring.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254151 + ... + 254649.

Almost surely, 2^126945600 is an apocalyptic number.

126945600 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 126945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212598000).

126945600 is an abundant number, since it is smaller than the sum of its proper divisors (298250400).

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

126945600 is a wasteful number, since it uses less digits than its factorization.

126945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

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

The square root of 126945600 is about 11267.0138013584. The cubic root of 126945600 is about 502.5807894658.

The spelling of 126945600 in words is "one hundred twenty-six million, nine hundred forty-five thousand, six hundred".