126520216152 has 128 divisors (see below), whose sum is σ = 368705779200. Its totient is φ = 35753011200.

The previous prime is 126520216133. The next prime is 126520216181. The reversal of 126520216152 is 251612025621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 359877 + ... + 618507.

It is an arithmetic number, because the mean of its divisors is an integer number (2880513900).

Almost surely, 2^126520216152 is an apocalyptic number.

126520216152 is a gapful number since it is divisible by the number (12) 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 126520216152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184352889600).

126520216152 is an abundant number, since it is smaller than the sum of its proper divisors (242185563048).

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

126520216152 is a wasteful number, since it uses less digits than its factorization.

126520216152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258777 (or 258773 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 126520216152 in words is "one hundred twenty-six billion, five hundred twenty million, two hundred sixteen thousand, one hundred fifty-two".