125235345540000 has 480 divisors, whose sum is σ = 419671101459456. Its totient is φ = 32675117440000.

The previous prime is 125235345539989. The next prime is 125235345540049. The reversal of 125235345540000 is 45543532521.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13228615267 + ... + 13228624733.

Almost surely, 2^{125235345540000} is an apocalyptic number.

125235345540000 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 125235345540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209835550729728).

125235345540000 is an abundant number, since it is smaller than the sum of its proper divisors (294435755919456).

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

125235345540000 is an equidigital number, since it uses as much as digits as its factorization.

125235345540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238 (or 14215 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 125235345540000 in words is "one hundred twenty-five trillion, two hundred thirty-five billion, three hundred forty-five million, five hundred forty thousand".