126740275200 has 2016 divisors, whose sum is σ = 608472483840. Its totient is φ = 24418713600.

The previous prime is 126740275177. The next prime is 126740275201. The reversal of 126740275200 is 2572047621.

It is a happy number.

126740275200 is a `hidden beast` number, since 12 + 67 + 40 + 27 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (126740275201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2696601577 + ... + 2696601623.

Almost surely, 2^126740275200 is an apocalyptic number.

126740275200 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 126740275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304236241920).

126740275200 is an abundant number, since it is smaller than the sum of its proper divisors (481732208640).

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

126740275200 is a wasteful number, since it uses less digits than its factorization.

126740275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 126740275200 in words is "one hundred twenty-six billion, seven hundred forty million, two hundred seventy-five thousand, two hundred".