126529144920 has 384 divisors, whose sum is σ = 448057958400. Its totient is φ = 30848947200.

The previous prime is 126529144919. The next prime is 126529144957. The reversal of 126529144920 is 29441925621.

126529144920 is a `hidden beast` number, since 1 + 26 + 52 + 91 + 4 + 492 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114713089 + ... + 114714191.

It is an arithmetic number, because the mean of its divisors is an integer number (1166817600).

Almost surely, 2^126529144920 is an apocalyptic number.

126529144920 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 126529144920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224028979200).

126529144920 is an abundant number, since it is smaller than the sum of its proper divisors (321528813480).

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

126529144920 is a wasteful number, since it uses less digits than its factorization.

126529144920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 126529144920 in words is "one hundred twenty-six billion, five hundred twenty-nine million, one hundred forty-four thousand, nine hundred twenty".