126146531720 has 192 divisors, whose sum is σ = 324658575360. Its totient is φ = 44044183040.

The previous prime is 126146531683. The next prime is 126146531737. The reversal of 126146531720 is 27135641621.

126146531720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×126146531720³ (a number of 34 digits) contains 333 as substring.

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, 12051209 + ... + 12061671.

It is an arithmetic number, because the mean of its divisors is an integer number (1690930080).

Almost surely, 2^126146531720 is an apocalyptic number.

126146531720 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 126146531720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162329287680).

126146531720 is an abundant number, since it is smaller than the sum of its proper divisors (198512043640).

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

126146531720 is a wasteful number, since it uses less digits than its factorization.

126146531720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10596 (or 10581 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 126146531720 in words is "one hundred twenty-six billion, one hundred forty-six million, five hundred thirty-one thousand, seven hundred twenty".