126338616 has 144 divisors (see below), whose sum is σ = 371989800. Its totient is φ = 40170816.

The previous prime is 126338603. The next prime is 126338621. The reversal of 126338616 is 616833621.

126338616 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 38 + 616 = 666.

It is a super-2 number, since 2×126338616² = 31922891785590912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1522111 + ... + 1522193.

Almost surely, 2^126338616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126338616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185994900).

126338616 is an abundant number, since it is smaller than the sum of its proper divisors (245651184).

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

126338616 is an frugal number, since it uses more digits than its factorization.

126338616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 126338616 is about 11240.0451956387. The cubic root of 126338616 is about 501.7784877951.

The spelling of 126338616 in words is "one hundred twenty-six million, three hundred thirty-eight thousand, six hundred sixteen".