126186714000 has 640 divisors, whose sum is σ = 492343488000. Its totient is φ = 30772224000.

The previous prime is 126186713969. The next prime is 126186714103. The reversal of 126186714000 is 417681621.

It is a happy number.

126186714000 is a `hidden beast` number, since 1 + 2 + 6 + 186 + 71 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29751880 + ... + 29756120.

It is an arithmetic number, because the mean of its divisors is an integer number (769286700).

Almost surely, 2^126186714000 is an apocalyptic number.

126186714000 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 126186714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246171744000).

126186714000 is an abundant number, since it is smaller than the sum of its proper divisors (366156774000).

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

126186714000 is a wasteful number, since it uses less digits than its factorization.

126186714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 126186714000 in words is "one hundred twenty-six billion, one hundred eighty-six million, seven hundred fourteen thousand".