126375063264 has 144 divisors (see below), whose sum is σ = 387101804544. Its totient is φ = 38993644800.

The previous prime is 126375063257. The next prime is 126375063271. The reversal of 126375063264 is 462360573621.

126375063264 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 7 + 5 + 0 + 632 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (126375063257) and next prime (126375063271).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×126375063264² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102372 + ... + 513059.

It is an arithmetic number, because the mean of its divisors is an integer number (2688206976).

Almost surely, 2^126375063264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126375063264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193550902272).

126375063264 is an abundant number, since it is smaller than the sum of its proper divisors (260726741280).

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

126375063264 is a wasteful number, since it uses less digits than its factorization.

126375063264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615501 (or 615490 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 126375063264 in words is "one hundred twenty-six billion, three hundred seventy-five million, sixty-three thousand, two hundred sixty-four".