125541953760 has 192 divisors, whose sum is σ = 408589429248. Its totient is φ = 32381282304.

The previous prime is 125541953759. The next prime is 125541953783. The reversal of 125541953760 is 67359145521.

It is a Cunningham number, because it is equal to 354319²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2096394 + ... + 2155446.

It is an arithmetic number, because the mean of its divisors is an integer number (2128069944).

Almost surely, 2^125541953760 is an apocalyptic number.

125541953760 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 125541953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204294714624).

125541953760 is an abundant number, since it is smaller than the sum of its proper divisors (283047475488).

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

125541953760 is a wasteful number, since it uses less digits than its factorization.

125541953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59217 (or 59209 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 125541953760 in words is "one hundred twenty-five billion, five hundred forty-one million, nine hundred fifty-three thousand, seven hundred sixty".