125517249000 has 2048 divisors, whose sum is σ = 566092800000. Its totient is φ = 25256448000.

The previous prime is 125517248999. The next prime is 125517249061. The reversal of 125517249000 is 942715521.

125517249000 is a `hidden beast` number, since 12 + 551 + 7 + 2 + 4 + 90 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2127410971 + ... + 2127411029.

It is an arithmetic number, because the mean of its divisors is an integer number (276412500).

Almost surely, 2^125517249000 is an apocalyptic number.

125517249000 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 125517249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400000).

125517249000 is an abundant number, since it is smaller than the sum of its proper divisors (440575551000).

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

125517249000 is a wasteful number, since it uses less digits than its factorization.

125517249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 125517249000 in words is "one hundred twenty-five billion, five hundred seventeen million, two hundred forty-nine thousand".