126145153616364 has 96 divisors (see below), whose sum is σ = 331050670272000. Its totient is φ = 41533317811008.

The previous prime is 126145153616327. The next prime is 126145153616369. The reversal of 126145153616364 is 463616351541621.

126145153616364 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 4 + 5 + 15 + 3 + 616 + 3 + 6 + 4 = 666.

126145153616364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 126145153616364.

It is not an unprimeable number, because it can be changed into a prime (126145153616369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42663502 + ... + 45524330.

It is an arithmetic number, because the mean of its divisors is an integer number (3448444482000).

Almost surely, 2^{126145153616364} 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 126145153616364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165525335136000).

126145153616364 is an abundant number, since it is smaller than the sum of its proper divisors (204905516655636).

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

126145153616364 is a wasteful number, since it uses less digits than its factorization.

126145153616364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865844 (or 2865836 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 126145153616364 in words is "one hundred twenty-six trillion, one hundred forty-five billion, one hundred fifty-three million, six hundred sixteen thousand, three hundred sixty-four".