125196288 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 34406400.

The previous prime is 125196283. The next prime is 125196293. The reversal of 125196288 is 882691521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125196283) and next prime (125196293).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×125196288² = 31348221057957888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (69120) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125196283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763293 + ... + 1763363.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^125196288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125196288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

125196288 is an abundant number, since it is smaller than the sum of its proper divisors (271068672).

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

125196288 is an equidigital number, since it uses as much as digits as its factorization.

125196288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 125196288 is about 11189.1147102887. The cubic root of 125196288 is about 500.2615804608.

The spelling of 125196288 in words is "one hundred twenty-five million, one hundred ninety-six thousand, two hundred eighty-eight".