126131257803600 has 480 divisors, whose sum is σ = 524999064099840. Its totient is φ = 28159535900160.

The previous prime is 126131257803587. The next prime is 126131257803611. The reversal of 126131257803600 is 6308752131621.

It is a happy number.

126131257803600 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 12 + 578 + 0 + 3 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16149234 + ... + 22650833.

It is an arithmetic number, because the mean of its divisors is an integer number (1093748050208).

Almost surely, 2^{126131257803600} is an apocalyptic number.

126131257803600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126131257803600 is an abundant number, since it is smaller than the sum of its proper divisors (398867806296240).

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

126131257803600 is a wasteful number, since it uses less digits than its factorization.

126131257803600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38800144 (or 38800127 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 126131257803600 in words is "one hundred twenty-six trillion, one hundred thirty-one billion, two hundred fifty-seven million, eight hundred three thousand, six hundred".