126342364500 has 576 divisors, whose sum is σ = 451634496768. Its totient is φ = 29462400000.

The previous prime is 126342364471. The next prime is 126342364501. The reversal of 126342364500 is 5463243621.

126342364500 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 4 + 2 + 3 + 645 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126342364501) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 184981159 + ... + 184981841.

It is an arithmetic number, because the mean of its divisors is an integer number (784087668).

Almost surely, 2^126342364500 is an apocalyptic number.

126342364500 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 126342364500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225817248384).

126342364500 is an abundant number, since it is smaller than the sum of its proper divisors (325292132268).

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

126342364500 is a wasteful number, since it uses less digits than its factorization.

126342364500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 126342364500 in words is "one hundred twenty-six billion, three hundred forty-two million, three hundred sixty-four thousand, five hundred".