126374164 has 48 divisors (see below), whose sum is σ = 260789760. Its totient is φ = 52462080.

The previous prime is 126374161. The next prime is 126374189. The reversal of 126374164 is 461473621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126374161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143004 + ... + 143884.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2^126374164 is an apocalyptic number.

126374164 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 126374164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130394880).

126374164 is an abundant number, since it is smaller than the sum of its proper divisors (134415596).

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

126374164 is a wasteful number, since it uses less digits than its factorization.

126374164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1046 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 126374164 is about 11241.6263947883. The cubic root of 126374164 is about 501.8255453234.

The spelling of 126374164 in words is "one hundred twenty-six million, three hundred seventy-four thousand, one hundred sixty-four".