125141044900 has 72 divisors (see below), whose sum is σ = 281434487040. Its totient is φ = 48248400000.

The previous prime is 125141044849. The next prime is 125141044909. The reversal of 125141044900 is 9440141521.

It is a super-2 number, since 2×125141044900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (125141044909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697686 + ... + 858514.

It is an arithmetic number, because the mean of its divisors is an integer number (3908812320).

Almost surely, 2^125141044900 is an apocalyptic number.

125141044900 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 125141044900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140717243520).

125141044900 is an abundant number, since it is smaller than the sum of its proper divisors (156293442140).

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

125141044900 is a wasteful number, since it uses less digits than its factorization.

125141044900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161125 (or 161118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 125141044900 in words is "one hundred twenty-five billion, one hundred forty-one million, forty-four thousand, nine hundred".