126481920 has 160 divisors (see below), whose sum is σ = 414830592. Its totient is φ = 32858112.

The previous prime is 126481913. The next prime is 126481931. The reversal of 126481920 is 29184621.

It is a tau number, because it is divible by the number of its divisors (160).

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, 330049 + ... + 330431.

Almost surely, 2^126481920 is an apocalyptic number.

126481920 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 126481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207415296).

126481920 is an abundant number, since it is smaller than the sum of its proper divisors (288348672).

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

126481920 is an equidigital number, since it uses as much as digits as its factorization.

126481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 126481920 is about 11246.4180964430. The cubic root of 126481920 is about 501.9681360494.

The spelling of 126481920 in words is "one hundred twenty-six million, four hundred eighty-one thousand, nine hundred twenty".