126251136000 has 1408 divisors, whose sum is σ = 527894115840. Its totient is φ = 29859840000.

The previous prime is 126251135917. The next prime is 126251136029. The reversal of 126251136000 is 631152621.

126251136000 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 51 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3079295980 + ... + 3079296020.

Almost surely, 2^126251136000 is an apocalyptic number.

126251136000 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 126251136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263947057920).

126251136000 is an abundant number, since it is smaller than the sum of its proper divisors (401642979840).

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

126251136000 is an frugal number, since it uses more digits than its factorization.

126251136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 126251136000 its reverse (631152621), we get a palindrome (126882288621).

The spelling of 126251136000 in words is "one hundred twenty-six billion, two hundred fifty-one million, one hundred thirty-six thousand".