125424819000 has 768 divisors, whose sum is σ = 481455636480. Its totient is φ = 29219097600.

The previous prime is 125424818999. The next prime is 125424819029. The reversal of 125424819000 is 918424521.

It is a super-2 number, since 2×125424819000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 341756817 + ... + 341757183.

It is an arithmetic number, because the mean of its divisors is an integer number (626895360).

Almost surely, 2^125424819000 is an apocalyptic number.

125424819000 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 125424819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240727818240).

125424819000 is an abundant number, since it is smaller than the sum of its proper divisors (356030817480).

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

125424819000 is a wasteful number, since it uses less digits than its factorization.

125424819000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 125424819000 in words is "one hundred twenty-five billion, four hundred twenty-four million, eight hundred nineteen thousand".