126738432 has 140 divisors (see below), whose sum is σ = 380609856. Its totient is φ = 42024960.

The previous prime is 126738401. The next prime is 126738449. The reversal of 126738432 is 234837621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663457 + ... + 663647.

Almost surely, 2^126738432 is an apocalyptic number.

126738432 is a gapful number since it is divisible by the number (12) 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 126738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190304928).

126738432 is an abundant number, since it is smaller than the sum of its proper divisors (253871424).

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

126738432 is an frugal number, since it uses more digits than its factorization.

126738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 196 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 126738432 is about 11257.8164845586. The cubic root of 126738432 is about 502.3072461869.

The spelling of 126738432 in words is "one hundred twenty-six million, seven hundred thirty-eight thousand, four hundred thirty-two".