125254849500 has 768 divisors, whose sum is σ = 470989209600. Its totient is φ = 28421280000.

The previous prime is 125254849427. The next prime is 125254849523. The reversal of 125254849500 is 5948452521.

125254849500 is a `hidden beast` number, since 1 + 2 + 52 + 54 + 8 + 49 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 290614285 + ... + 290614715.

It is an arithmetic number, because the mean of its divisors is an integer number (613267200).

Almost surely, 2^125254849500 is an apocalyptic number.

125254849500 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 125254849500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235494604800).

125254849500 is an abundant number, since it is smaller than the sum of its proper divisors (345734360100).

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

125254849500 is a wasteful number, since it uses less digits than its factorization.

125254849500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

It can be divided in two parts, 12525 and 4849500, that added together give a square (4862025 = 2205²).

The spelling of 125254849500 in words is "one hundred twenty-five billion, two hundred fifty-four million, eight hundred forty-nine thousand, five hundred".