126348238320 has 240 divisors, whose sum is σ = 415739640960. Its totient is φ = 31737337344.

The previous prime is 126348238319. The next prime is 126348238333. The reversal of 126348238320 is 23832843621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×126348238320³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15504487 + ... + 15512633.

It is an arithmetic number, because the mean of its divisors is an integer number (1732248504).

Almost surely, 2^126348238320 is an apocalyptic number.

126348238320 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 126348238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207869820480).

126348238320 is an abundant number, since it is smaller than the sum of its proper divisors (289391402640).

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

126348238320 is a wasteful number, since it uses less digits than its factorization.

126348238320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 126348238320 in words is "one hundred twenty-six billion, three hundred forty-eight million, two hundred thirty-eight thousand, three hundred twenty".