126691437600 has 864 divisors, whose sum is σ = 578836702080. Its totient is φ = 25321144320.

The previous prime is 126691437503. The next prime is 126691437617. The reversal of 126691437600 is 6734196621.

126691437600 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 9 + 1 + 4 + 37 + 600 = 666.

It is a super-2 number, since 2×126691437600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12443712 + ... + 12453888.

Almost surely, 2^126691437600 is an apocalyptic number.

126691437600 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 126691437600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289418351040).

126691437600 is an abundant number, since it is smaller than the sum of its proper divisors (452145264480).

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

126691437600 is a wasteful number, since it uses less digits than its factorization.

126691437600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 10226 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 126691437600 in words is "one hundred twenty-six billion, six hundred ninety-one million, four hundred thirty-seven thousand, six hundred".