126338088750 has 160 divisors (see below), whose sum is σ = 321575063040. Its totient is φ = 33072480000.

The previous prime is 126338088697. The next prime is 126338088757. The reversal of 126338088750 is 57880833621.

It is a super-2 number, since 2×126338088750² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126338088693 and 126338088702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126338088757) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65425285 + ... + 65427215.

It is an arithmetic number, because the mean of its divisors is an integer number (2009844144).

Almost surely, 2^126338088750 is an apocalyptic number.

126338088750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126338088750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160787531520).

126338088750 is an abundant number, since it is smaller than the sum of its proper divisors (195236974290).

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

126338088750 is a wasteful number, since it uses less digits than its factorization.

126338088750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 126338088750 in words is "one hundred twenty-six billion, three hundred thirty-eight million, eighty-eight thousand, seven hundred fifty".