126357840 has 320 divisors, whose sum is σ = 509253120. Its totient is φ = 28200960.

The previous prime is 126357827. The next prime is 126357841. The reversal of 126357840 is 48753621.

126357840 is a `hidden beast` number, since 12 + 635 + 7 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126357795 and 126357804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126357841) 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, 922252 + ... + 922388.

It is an arithmetic number, because the mean of its divisors is an integer number (1591416).

Almost surely, 2^126357840 is an apocalyptic number.

126357840 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 126357840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254626560).

126357840 is an abundant number, since it is smaller than the sum of its proper divisors (382895280).

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

126357840 is a wasteful number, since it uses less digits than its factorization.

126357840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 126357840 is about 11240.9003198142. The cubic root of 126357840 is about 501.8039371279.

The spelling of 126357840 in words is "one hundred twenty-six million, three hundred fifty-seven thousand, eight hundred forty".