126945000 has 480 divisors, whose sum is σ = 545825280. Its totient is φ = 25920000.

The previous prime is 126944959. The next prime is 126945037. The reversal of 126945000 is 549621.

It is a super-2 number, since 2×126945000² = 32230066050000000, which contains 22 as substring.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4094985 + ... + 4095015.

It is an arithmetic number, because the mean of its divisors is an integer number (1137136).

Almost surely, 2^126945000 is an apocalyptic number.

126945000 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 126945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272912640).

126945000 is an abundant number, since it is smaller than the sum of its proper divisors (418880280).

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

126945000 is a wasteful number, since it uses less digits than its factorization.

126945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 126945000 is about 11266.9871749284. The cubic root of 126945000 is about 502.5799976595.

The spelling of 126945000 in words is "one hundred twenty-six million, nine hundred forty-five thousand".