126512300154240 has 3072 divisors, whose sum is σ = 605958187161600. Its totient is φ = 23471267512320.

The previous prime is 126512300154211. The next prime is 126512300154283. The reversal of 126512300154240 is 42451003215621.

126512300154240 is a `hidden beast` number, since 1 + 2 + 6 + 51 + 23 + 0 + 0 + 1 + 542 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126512300154195 and 126512300154204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38186626824 + ... + 38186630136.

It is an arithmetic number, because the mean of its divisors is an integer number (197252014050).

Almost surely, 2^{126512300154240} is an apocalyptic number.

126512300154240 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 126512300154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302979093580800).

126512300154240 is an abundant number, since it is smaller than the sum of its proper divisors (479445887007360).

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

126512300154240 is a wasteful number, since it uses less digits than its factorization.

126512300154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 126512300154240 its reverse (42451003215621), we get a palindrome (168963303369861).

The spelling of 126512300154240 in words is "one hundred twenty-six trillion, five hundred twelve billion, three hundred million, one hundred fifty-four thousand, two hundred forty".