125057088 has 224 divisors, whose sum is σ = 418185600. Its totient is φ = 36329472.

The previous prime is 125057081. The next prime is 125057099. The reversal of 125057088 is 880750521.

125057088 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 570 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125057081) 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 31 ways as a sum of consecutive naturals, for example, 426670 + ... + 426962.

It is an arithmetic number, because the mean of its divisors is an integer number (1866900).

Almost surely, 2^125057088 is an apocalyptic number.

125057088 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 125057088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209092800).

125057088 is an abundant number, since it is smaller than the sum of its proper divisors (293128512).

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

125057088 is a wasteful number, since it uses less digits than its factorization.

125057088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 125057088 is about 11182.8926490421. The cubic root of 125057088 is about 500.0761057486.

The spelling of 125057088 in words is "one hundred twenty-five million, fifty-seven thousand, eighty-eight".