126413784000 has 1680 divisors, whose sum is σ = 571313096640. Its totient is φ = 26998272000.

The previous prime is 126413783987. The next prime is 126413784011. The reversal of 126413784000 is 487314621.

126413784000 is a `hidden beast` number, since 1 + 2 + 641 + 3 + 7 + 8 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 4077863985 + ... + 4077864015.

Almost surely, 2^126413784000 is an apocalyptic number.

126413784000 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 126413784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285656548320).

126413784000 is an abundant number, since it is smaller than the sum of its proper divisors (444899312640).

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

126413784000 is an equidigital number, since it uses as much as digits as its factorization.

126413784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 126413784000 in words is "one hundred twenty-six billion, four hundred thirteen million, seven hundred eighty-four thousand".