126947520 has 224 divisors, whose sum is σ = 512064000. Its totient is φ = 29002752.

The previous prime is 126947507. The next prime is 126947533. The reversal of 126947520 is 25749621.

126947520 is a `hidden beast` number, since 126 + 9 + 4 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (126947507) and next prime (126947533).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×126947520² = 32231345668300800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59431 + ... + 61529.

It is an arithmetic number, because the mean of its divisors is an integer number (2286000).

Almost surely, 2^126947520 is an apocalyptic number.

126947520 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 126947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032000).

126947520 is an abundant number, since it is smaller than the sum of its proper divisors (385116480).

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

126947520 is a wasteful number, since it uses less digits than its factorization.

126947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 126947520 is about 11267.0990055116. The cubic root of 126947520 is about 502.5833232289.

The spelling of 126947520 in words is "one hundred twenty-six million, nine hundred forty-seven thousand, five hundred twenty".