126135360 has 224 divisors, whose sum is σ = 479633280. Its totient is φ = 31021056.

The previous prime is 126135337. The next prime is 126135371. The reversal of 126135360 is 63531621.

126135360 is a `hidden beast` number, since 12 + 613 + 5 + 36 + 0 = 666.

It is a Cunningham number, because it is equal to 11231²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111759 + ... + 112881.

It is an arithmetic number, because the mean of its divisors is an integer number (2141220).

Almost surely, 2^126135360 is an apocalyptic number.

126135360 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 126135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239816640).

126135360 is an abundant number, since it is smaller than the sum of its proper divisors (353497920).

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

126135360 is a wasteful number, since it uses less digits than its factorization.

126135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 126135360 is about 11230.9999554804. Note that the first 4 decimals coincide. The cubic root of 126135360 is about 501.5092530599.

Adding to 126135360 its reverse (63531621), we get a palindrome (189666981).

The spelling of 126135360 in words is "one hundred twenty-six million, one hundred thirty-five thousand, three hundred sixty".