126633140 has 48 divisors (see below), whose sum is σ = 284014080. Its totient is φ = 47322240.

The previous prime is 126633137. The next prime is 126633229. The reversal of 126633140 is 41336621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14459 + ... + 21501.

It is an arithmetic number, because the mean of its divisors is an integer number (5916960).

Almost surely, 2^126633140 is an apocalyptic number.

126633140 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 126633140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142007040).

126633140 is an abundant number, since it is smaller than the sum of its proper divisors (157380940).

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

126633140 is a wasteful number, since it uses less digits than its factorization.

126633140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7112 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 126633140 is about 11253.1391175974. The cubic root of 126633140 is about 502.1681050522.

Adding to 126633140 its reverse (41336621), we get a palindrome (167969761).

The spelling of 126633140 in words is "one hundred twenty-six million, six hundred thirty-three thousand, one hundred forty".