126832300 has 144 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 41091840.

The previous prime is 126832297. The next prime is 126832313. The reversal of 126832300 is 3238621.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528059 + ... + 1528141.

It is an arithmetic number, because the mean of its divisors is an integer number (2308880).

Almost surely, 2^126832300 is an apocalyptic number.

126832300 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 126832300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

126832300 is an abundant number, since it is smaller than the sum of its proper divisors (205646420).

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

126832300 is a wasteful number, since it uses less digits than its factorization.

126832300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 126832300 is about 11261.9847273915. The cubic root of 126832300 is about 502.4312257882.

The spelling of 126832300 in words is "one hundred twenty-six million, eight hundred thirty-two thousand, three hundred".