126402345000 has 720 divisors, whose sum is σ = 467908721280. Its totient is φ = 30780000000.

The previous prime is 126402344987. The next prime is 126402345079. The reversal of 126402345000 is 543204621.

126402345000 is a `hidden beast` number, since 12 + 640 + 2 + 3 + 4 + 5 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 503594875 + ... + 503595125.

It is an arithmetic number, because the mean of its divisors is an integer number (649873224).

Almost surely, 2^126402345000 is an apocalyptic number.

126402345000 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 126402345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233954360640).

126402345000 is an abundant number, since it is smaller than the sum of its proper divisors (341506376280).

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

126402345000 is a wasteful number, since it uses less digits than its factorization.

126402345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 126402345000 its reverse (543204621), we get a palindrome (126945549621).

The spelling of 126402345000 in words is "one hundred twenty-six billion, four hundred two million, three hundred forty-five thousand".