125444088 has 240 divisors, whose sum is σ = 452228400. Its totient is φ = 30666240.

The previous prime is 125444087. The next prime is 125444101. The reversal of 125444088 is 880444521.

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 (125444083) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7379056 + ... + 7379072.

It is an arithmetic number, because the mean of its divisors is an integer number (1884285).

Almost surely, 2^125444088 is an apocalyptic number.

125444088 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 125444088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226114200).

125444088 is an abundant number, since it is smaller than the sum of its proper divisors (326784312).

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

125444088 is a wasteful number, since it uses less digits than its factorization.

125444088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 125444088 is about 11200.1824985131. The cubic root of 125444088 is about 500.5914175082.

The spelling of 125444088 in words is "one hundred twenty-five million, four hundred forty-four thousand, eighty-eight".