126736747200 has 504 divisors, whose sum is σ = 533880884992. Its totient is φ = 28967777280.

The previous prime is 126736747153. The next prime is 126736747253. The reversal of 126736747200 is 2747637621.

126736747200 is a `hidden beast` number, since 1 + 267 + 367 + 4 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 2698317 + ... + 2744883.

Almost surely, 2^126736747200 is an apocalyptic number.

126736747200 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 126736747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266940442496).

126736747200 is an abundant number, since it is smaller than the sum of its proper divisors (407144137792).

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

126736747200 is an equidigital number, since it uses as much as digits as its factorization.

126736747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46611 (or 46584 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 126736747200 in words is "one hundred twenty-six billion, seven hundred thirty-six million, seven hundred forty-seven thousand, two hundred".