126030520 has 256 divisors, whose sum is σ = 391910400. Its totient is φ = 35266560.

The previous prime is 126030479. The next prime is 126030521. The reversal of 126030520 is 25030621.

126030520 = T₁₇₀₁ + T₁₇₀₂ + ... + T₁₇₈₃.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126030521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1518399 + ... + 1518481.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^126030520 is an apocalyptic number.

126030520 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 126030520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

126030520 is an abundant number, since it is smaller than the sum of its proper divisors (265879880).

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

126030520 is a wasteful number, since it uses less digits than its factorization.

126030520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 126030520 is about 11226.3315468589. The cubic root of 126030520 is about 501.3702679676.

The spelling of 126030520 in words is "one hundred twenty-six million, thirty thousand, five hundred twenty".