126516457542200 has 144 divisors (see below), whose sum is σ = 323331737631840. Its totient is φ = 46004704345600.

The previous prime is 126516457542133. The next prime is 126516457542257. The reversal of 126516457542200 is 2245754615621.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1567950257 + ... + 1568030943.

It is an arithmetic number, because the mean of its divisors is an integer number (2245359289110).

Almost surely, 2^{126516457542200} is an apocalyptic number.

126516457542200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126516457542200 is an abundant number, since it is smaller than the sum of its proper divisors (196815280089640).

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

126516457542200 is a wasteful number, since it uses less digits than its factorization.

126516457542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145518 (or 145498 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 50.

The spelling of 126516457542200 in words is "one hundred twenty-six trillion, five hundred sixteen billion, four hundred fifty-seven million, five hundred forty-two thousand, two hundred".