125291088 has 240 divisors, whose sum is σ = 415973376. Its totient is φ = 34836480.

The previous prime is 125291087. The next prime is 125291093. The reversal of 125291088 is 880192521.

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 (125291081) 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, 986481 + ... + 986607.

Almost surely, 2^125291088 is an apocalyptic number.

125291088 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 125291088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207986688).

125291088 is an abundant number, since it is smaller than the sum of its proper divisors (290682288).

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

125291088 is a wasteful number, since it uses less digits than its factorization.

125291088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 125291088 is about 11193.3501687386. The cubic root of 125291088 is about 500.3878164524.

The spelling of 125291088 in words is "one hundred twenty-five million, two hundred ninety-one thousand, eighty-eight".