125150055235100 has 288 divisors, whose sum is σ = 323099851536000. Its totient is φ = 42050899968000.

The previous prime is 125150055235069. The next prime is 125150055235109. The reversal of 125150055235100 is 1532550051521.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125150055235109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344773700 + ... + 345136500.

It is an arithmetic number, because the mean of its divisors is an integer number (1121874484500).

Almost surely, 2^{125150055235100} is an apocalyptic number.

125150055235100 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 125150055235100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161549925768000).

125150055235100 is an abundant number, since it is smaller than the sum of its proper divisors (197949796300900).

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

125150055235100 is a wasteful number, since it uses less digits than its factorization.

125150055235100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363038 (or 363017 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 35.

The spelling of 125150055235100 in words is "one hundred twenty-five trillion, one hundred fifty billion, fifty-five million, two hundred thirty-five thousand, one hundred".