126087192 has 360 divisors, whose sum is σ = 472996260. Its totient is φ = 31026240.

The previous prime is 126087187. The next prime is 126087193. The reversal of 126087192 is 291780621.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126087193) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6636159 + ... + 6636177.

Almost surely, 2^126087192 is an apocalyptic number.

126087192 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 126087192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236498130).

126087192 is an abundant number, since it is smaller than the sum of its proper divisors (346909068).

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

126087192 is a wasteful number, since it uses less digits than its factorization.

126087192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 126087192 is about 11228.8553290173. The cubic root of 126087192 is about 501.4454069048.

The spelling of 126087192 in words is "one hundred twenty-six million, eighty-seven thousand, one hundred ninety-two".