125150446500 has 288 divisors, whose sum is σ = 384671903616. Its totient is φ = 31577817600.

The previous prime is 125150446489. The next prime is 125150446501. The reversal of 125150446500 is 5644051521.

It is a super-3 number, since 3×125150446500³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (125150446501) 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, 546508386 + ... + 546508614.

It is an arithmetic number, because the mean of its divisors is an integer number (1335666332).

Almost surely, 2^125150446500 is an apocalyptic number.

125150446500 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 125150446500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192335951808).

125150446500 is an abundant number, since it is smaller than the sum of its proper divisors (259521457116).

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

125150446500 is a wasteful number, since it uses less digits than its factorization.

125150446500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 125150446500 in words is "one hundred twenty-five billion, one hundred fifty million, four hundred forty-six thousand, five hundred".