126420364 has 48 divisors (see below), whose sum is σ = 268833600. Its totient is φ = 50780160.

The previous prime is 126420353. The next prime is 126420373. The reversal of 126420364 is 463024621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165744 + ... + 166504.

It is an arithmetic number, because the mean of its divisors is an integer number (5600700).

Almost surely, 2^126420364 is an apocalyptic number.

126420364 is a gapful number since it is divisible by the number (14) 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 126420364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416800).

126420364 is an abundant number, since it is smaller than the sum of its proper divisors (142413236).

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

126420364 is a wasteful number, since it uses less digits than its factorization.

126420364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 126420364 is about 11243.6810698276. The cubic root of 126420364 is about 501.8866905100.

Adding to 126420364 its reverse (463024621), we get a palindrome (589444985).

The spelling of 126420364 in words is "one hundred twenty-six million, four hundred twenty thousand, three hundred sixty-four".