126292519340 has 96 divisors (see below), whose sum is σ = 296736410880. Its totient is φ = 44829259776.

The previous prime is 126292519273. The next prime is 126292519351. The reversal of 126292519340 is 43915292621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 126292519291 and 126292519300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720877 + ... + 1792763.

It is an arithmetic number, because the mean of its divisors is an integer number (3091004280).

Almost surely, 2^126292519340 is an apocalyptic number.

126292519340 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 126292519340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148368205440).

126292519340 is an abundant number, since it is smaller than the sum of its proper divisors (170443891540).

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

126292519340 is a wasteful number, since it uses less digits than its factorization.

126292519340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72171 (or 72169 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 126292519340 in words is "one hundred twenty-six billion, two hundred ninety-two million, five hundred nineteen thousand, three hundred forty".