126500400 has 480 divisors, whose sum is σ = 523091520. Its totient is φ = 28753920.

The previous prime is 126500399. The next prime is 126500419. The reversal of 126500400 is 4005621.

It is a happy number.

126500400 is a `hidden beast` number, since 1 + 265 + 0 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2386774 + ... + 2386826.

It is an arithmetic number, because the mean of its divisors is an integer number (1089774).

Almost surely, 2^126500400 is an apocalyptic number.

126500400 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 126500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261545760).

126500400 is an abundant number, since it is smaller than the sum of its proper divisors (396591120).

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

126500400 is a wasteful number, since it uses less digits than its factorization.

126500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 126500400 is about 11247.2396613569. The cubic root of 126500400 is about 501.9925820187.

The spelling of 126500400 in words is "one hundred twenty-six million, five hundred thousand, four hundred".