125811288 has 192 divisors, whose sum is σ = 389188800. Its totient is φ = 36495360.

The previous prime is 125811281. The next prime is 125811313. The reversal of 125811288 is 882118521.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125811281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154178 + ... + 1154286.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 2^125811288 is an apocalyptic number.

125811288 is a gapful number since it is divisible by the number (18) 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 125811288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400).

125811288 is an abundant number, since it is smaller than the sum of its proper divisors (263377512).

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

125811288 is a wasteful number, since it uses less digits than its factorization.

125811288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

The square root of 125811288 is about 11216.5631099727. The cubic root of 125811288 is about 501.0793855104.

The spelling of 125811288 in words is "one hundred twenty-five million, eight hundred eleven thousand, two hundred eighty-eight".