126641152 has 44 divisors (see below), whose sum is σ = 276197616. Its totient is φ = 57559040.

The previous prime is 126641131. The next prime is 126641153. The reversal of 126641152 is 251146621.

It is a tau number, because it is divible by the number of its divisors (44).

It is a self number, because there is not a number n which added to its sum of digits gives 126641152.

It is not an unprimeable number, because it can be changed into a prime (126641153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5643 + ... + 16885.

Almost surely, 2^126641152 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 126641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138098808).

126641152 is an abundant number, since it is smaller than the sum of its proper divisors (149556464).

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

126641152 is a wasteful number, since it uses less digits than its factorization.

126641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274 (or 11256 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 126641152 is about 11253.4951015229. The cubic root of 126641152 is about 502.1786954501.

Adding to 126641152 its reverse (251146621), we get a palindrome (377787773).

It can be divided in two parts, 126 and 641152, that added together give a triangular number (641278 = T₁₁₃₂).

The spelling of 126641152 in words is "one hundred twenty-six million, six hundred forty-one thousand, one hundred fifty-two".