126132264660567 has 64 divisors (see below), whose sum is σ = 194936710717440. Its totient is φ = 71739685728000.

The previous prime is 126132264660553. The next prime is 126132264660641. The reversal of 126132264660567 is 765066462231621.

It is a happy number.

It is not a de Polignac number, because 126132264660567 - 2¹⁶ = 126132264595031 is a prime.

It is a super-2 number, since 2×126132264660567² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126132264660067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593525442 + ... + 1593604592.

It is an arithmetic number, because the mean of its divisors is an integer number (3045886104960).

Almost surely, 2^{126132264660567} is an apocalyptic number.

126132264660567 is a deficient number, since it is larger than the sum of its proper divisors (68804446056873).

126132264660567 is a wasteful number, since it uses less digits than its factorization.

126132264660567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103044.

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 126132264660567 in words is "one hundred twenty-six trillion, one hundred thirty-two billion, two hundred sixty-four million, six hundred sixty thousand, five hundred sixty-seven".