125273088 has 176 divisors, whose sum is σ = 389093760. Its totient is φ = 39739392.

The previous prime is 125273033. The next prime is 125273089. The reversal of 125273088 is 880372521.

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 (125273089) 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, 635806 + ... + 636002.

It is an arithmetic number, because the mean of its divisors is an integer number (2210760).

Almost surely, 2^125273088 is an apocalyptic number.

125273088 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 125273088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194546880).

125273088 is an abundant number, since it is smaller than the sum of its proper divisors (263820672).

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

125273088 is a wasteful number, since it uses less digits than its factorization.

125273088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 125273088 is about 11192.5460910376. The cubic root of 125273088 is about 500.3638524918.

The spelling of 125273088 in words is "one hundred twenty-five million, two hundred seventy-three thousand, eighty-eight".