126805152397248 has 280 divisors, whose sum is σ = 417863053731200. Its totient is φ = 37758357411840.

The previous prime is 126805152397247. The next prime is 126805152397277. The reversal of 126805152397248 is 842793251508621.

It is a happy number.

126805152397248 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 0 + 515 + 2 + 3 + 9 + 72 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126805152397247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28259323 + ... + 32437626.

It is an arithmetic number, because the mean of its divisors is an integer number (1492368049040).

It is a 1-persistent number, because it is pandigital, but 2⋅126805152397248 = 253610304794496 is not.

Almost surely, 2^{126805152397248} is an apocalyptic number.

126805152397248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126805152397248 is an abundant number, since it is smaller than the sum of its proper divisors (291057901333952).

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

126805152397248 is a wasteful number, since it uses less digits than its factorization.

126805152397248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60697017 (or 60696998 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 126805152397248 in words is "one hundred twenty-six trillion, eight hundred five billion, one hundred fifty-two million, three hundred ninety-seven thousand, two hundred forty-eight".