126853020 has 192 divisors, whose sum is σ = 463733760. Its totient is φ = 28180224.

The previous prime is 126853019. The next prime is 126853037. The reversal of 126853020 is 20358621.

126853020 is a `hidden beast` number, since 126 + 8 + 530 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 139407 + ... + 140313.

It is an arithmetic number, because the mean of its divisors is an integer number (2415280).

Almost surely, 2^126853020 is an apocalyptic number.

126853020 is a gapful number since it is divisible by the number (10) 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 126853020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231866880).

126853020 is an abundant number, since it is smaller than the sum of its proper divisors (336880740).

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

126853020 is a wasteful number, since it uses less digits than its factorization.

126853020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126853020 is about 11262.9045987259. The cubic root of 126853020 is about 502.4585842454.

The spelling of 126853020 in words is "one hundred twenty-six million, eight hundred fifty-three thousand, twenty".