126545364720 has 320 divisors, whose sum is σ = 441190333440. Its totient is φ = 33336087552.

The previous prime is 126545364713. The next prime is 126545364721. The reversal of 126545364720 is 27463545621.

126545364720 is a `hidden beast` number, since 1 + 2 + 6 + 54 + 536 + 47 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126545364721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 128733349 + ... + 128734331.

It is an arithmetic number, because the mean of its divisors is an integer number (1378719792).

Almost surely, 2^126545364720 is an apocalyptic number.

126545364720 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 126545364720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220595166720).

126545364720 is an abundant number, since it is smaller than the sum of its proper divisors (314644968720).

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

126545364720 is a wasteful number, since it uses less digits than its factorization.

126545364720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 126545364720 in words is "one hundred twenty-six billion, five hundred forty-five million, three hundred sixty-four thousand, seven hundred twenty".