126438180 has 192 divisors, whose sum is σ = 418037760. Its totient is φ = 28211200.

The previous prime is 126438161. The next prime is 126438227. The reversal of 126438180 is 81834621.

It is a super-2 number, since 2×126438180² = 31973226723424800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661885 + ... + 662075.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^126438180 is an apocalyptic number.

126438180 is a gapful number since it is divisible by the number (10) 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 126438180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

126438180 is an abundant number, since it is smaller than the sum of its proper divisors (291599580).

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

126438180 is a wasteful number, since it uses less digits than its factorization.

126438180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 126438180 is about 11244.4733091417. The cubic root of 126438180 is about 501.9102658080.

The spelling of 126438180 in words is "one hundred twenty-six million, four hundred thirty-eight thousand, one hundred eighty".