126166752 has 72 divisors (see below), whose sum is σ = 360294480. Its totient is φ = 41879040.

The previous prime is 126166751. The next prime is 126166757. The reversal of 126166752 is 257661621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126166751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80149 + ... + 81707.

It is an arithmetic number, because the mean of its divisors is an integer number (5004090).

Almost surely, 2^126166752 is an apocalyptic number.

126166752 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 126166752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180147240).

126166752 is an abundant number, since it is smaller than the sum of its proper divisors (234127728).

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

126166752 is a wasteful number, since it uses less digits than its factorization.

126166752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1845 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 126166752 is about 11232.3974288662. The cubic root of 126166752 is about 501.5508540633.

The spelling of 126166752 in words is "one hundred twenty-six million, one hundred sixty-six thousand, seven hundred fifty-two".