126740633400 has 144 divisors (see below), whose sum is σ = 425945014560. Its totient is φ = 33773068800.

The previous prime is 126740633333. The next prime is 126740633447. The reversal of 126740633400 is 4336047621.

It is a happy number.

126740633400 is a `hidden beast` number, since 12 + 6 + 7 + 4 + 0 + 633 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2536660 + ... + 2586140.

It is an arithmetic number, because the mean of its divisors is an integer number (2957951490).

Almost surely, 2^126740633400 is an apocalyptic number.

126740633400 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 126740633400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212972507280).

126740633400 is an abundant number, since it is smaller than the sum of its proper divisors (299204381160).

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

126740633400 is a wasteful number, since it uses less digits than its factorization.

126740633400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50926 (or 50914 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 126740633400 in words is "one hundred twenty-six billion, seven hundred forty million, six hundred thirty-three thousand, four hundred".