126136272 has 80 divisors (see below), whose sum is σ = 340041728. Its totient is φ = 40245120.

The previous prime is 126136261. The next prime is 126136289. The reversal of 126136272 is 272631621.

It is a super-2 number, since 2×126136272² = 31820718228115968, which contains 22 as substring.

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, 152853 + ... + 153675.

Almost surely, 2^126136272 is an apocalyptic number.

126136272 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 126136272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170020864).

126136272 is an abundant number, since it is smaller than the sum of its proper divisors (213905456).

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

126136272 is a wasteful number, since it uses less digits than its factorization.

126136272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 126136272 is about 11231.0405573126. The cubic root of 126136272 is about 501.5104617491.

Adding to 126136272 its reverse (272631621), we get a palindrome (398767893).

The spelling of 126136272 in words is "one hundred twenty-six million, one hundred thirty-six thousand, two hundred seventy-two".