126896148 has 72 divisors (see below), whose sum is σ = 331367400. Its totient is φ = 40919040.

The previous prime is 126896137. The next prime is 126896167. The reversal of 126896148 is 841698621.

126896148 is a `hidden beast` number, since 1 + 26 + 8 + 9 + 614 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7387524 + 119508624 = 2718^2 + 10932^2 .

It is a super-2 number, since 2×126896148² = 32205264754475808, 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 23 ways as a sum of consecutive naturals, for example, 219636 + ... + 220212.

It is an arithmetic number, because the mean of its divisors is an integer number (4602325).

Almost surely, 2^126896148 is an apocalyptic number.

126896148 is a gapful number since it is divisible by the number (18) 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 126896148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165683700).

126896148 is an abundant number, since it is smaller than the sum of its proper divisors (204471252).

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

126896148 is a wasteful number, since it uses less digits than its factorization.

126896148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 772 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 126896148 is about 11264.8190398248. The cubic root of 126896148 is about 502.5155204236.

The spelling of 126896148 in words is "one hundred twenty-six million, eight hundred ninety-six thousand, one hundred forty-eight".