126229006152 has 180 divisors, whose sum is σ = 376037037915. Its totient is φ = 39553021440.

The previous prime is 126229006151. The next prime is 126229006171. The reversal of 126229006152 is 251600922621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

126229006152 is a `hidden beast` number, since 1 + 262 + 290 + 0 + 61 + 52 = 666.

126229006152 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 70652829636 + 55576176516 = 265806^2 + 235746^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=251226.

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

It is not an unprimeable number, because it can be changed into a prime (126229006151) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 153749902 + ... + 153750722.

Almost surely, 2^126229006152 is an apocalyptic number.

126229006152 is a gapful number since it is divisible by the number (12) 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 126229006152

126229006152 is an abundant number, since it is smaller than the sum of its proper divisors (249808031763).

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

126229006152 is an frugal number, since it uses more digits than its factorization.

126229006152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 126229006152 its reverse (251600922621), we get a palindrome (377829928773).

The spelling of 126229006152 in words is "one hundred twenty-six billion, two hundred twenty-nine million, six thousand, one hundred fifty-two".