126852096 has 176 divisors, whose sum is σ = 410317056. Its totient is φ = 34013184.

The previous prime is 126852091. The next prime is 126852097. The reversal of 126852096 is 690258621.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126852091) 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, 365395 + ... + 365741.

Almost surely, 2^126852096 is an apocalyptic number.

126852096 is a gapful number since it is divisible by the number (16) 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 126852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205158528).

126852096 is an abundant number, since it is smaller than the sum of its proper divisors (283464960).

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

126852096 is a wasteful number, since it uses less digits than its factorization.

126852096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 126852096 is about 11262.8635790371. The cubic root of 126852096 is about 502.4573642695.

The spelling of 126852096 in words is "one hundred twenty-six million, eight hundred fifty-two thousand, ninety-six".