126137606400 has 1296 divisors, whose sum is σ = 534727275264. Its totient is φ = 29143203840.

The previous prime is 126137606381. The next prime is 126137606431. The reversal of 126137606400 is 4606731621.

It is a happy number.

126137606400 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 7 + 6 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 343699017 + ... + 343699383.

Almost surely, 2^126137606400 is an apocalyptic number.

126137606400 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 126137606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267363637632).

126137606400 is an abundant number, since it is smaller than the sum of its proper divisors (408589668864).

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

126137606400 is a wasteful number, since it uses less digits than its factorization.

126137606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 126137606400 in words is "one hundred twenty-six billion, one hundred thirty-seven million, six hundred six thousand, four hundred".