126148440 has 128 divisors (see below), whose sum is σ = 415653120. Its totient is φ = 30374400.

The previous prime is 126148417. The next prime is 126148441. The reversal of 126148440 is 44841621.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126148398 and 126148407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126148441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299430 + ... + 299850.

It is an arithmetic number, because the mean of its divisors is an integer number (3247290).

Almost surely, 2^126148440 is an apocalyptic number.

126148440 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 126148440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207826560).

126148440 is an abundant number, since it is smaller than the sum of its proper divisors (289504680).

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

126148440 is a wasteful number, since it uses less digits than its factorization.

126148440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 126148440 is about 11231.5822571889. The cubic root of 126148440 is about 501.5265876501.

The spelling of 126148440 in words is "one hundred twenty-six million, one hundred forty-eight thousand, four hundred forty".