126895104 has 198 divisors, whose sum is σ = 427745214. Its totient is φ = 36126720.

The previous prime is 126895103. The next prime is 126895127. The reversal of 126895104 is 401598621.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 11289600 = 10752^2 + 3360^2 .

It is a super-2 number, since 2×126895104² = 32204734838341632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126895103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451444 + ... + 451724.

Almost surely, 2^126895104 is an apocalyptic number.

126895104 is a gapful number since it is divisible by the number (14) 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 126895104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213872607).

126895104 is an abundant number, since it is smaller than the sum of its proper divisors (300850110).

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

126895104 is a wasteful number, since it uses less digits than its factorization.

126895104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 126895104 is about 11264.7727007694. The cubic root of 126895104 is about 502.5141423212.

The spelling of 126895104 in words is "one hundred twenty-six million, eight hundred ninety-five thousand, one hundred four".