126455436500 has 96 divisors (see below), whose sum is σ = 284757336864. Its totient is φ = 49021747200.

The previous prime is 126455436451. The next prime is 126455436509. The reversal of 126455436500 is 5634554621.

It is a happy number.

126455436500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 5383450384 + 121071986116 = 73372^2 + 347954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126455436509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4741202 + ... + 4767798.

It is an arithmetic number, because the mean of its divisors is an integer number (2966222259).

Almost surely, 2^126455436500 is an apocalyptic number.

126455436500 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 126455436500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142378668432).

126455436500 is an abundant number, since it is smaller than the sum of its proper divisors (158301900364).

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

126455436500 is a wasteful number, since it uses less digits than its factorization.

126455436500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26910 (or 26898 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 126455436500 in words is "one hundred twenty-six billion, four hundred fifty-five million, four hundred thirty-six thousand, five hundred".