125087760 has 160 divisors (see below), whose sum is σ = 492468480. Its totient is φ = 28588032.

The previous prime is 125087749. The next prime is 125087771. The reversal of 125087760 is 67780521.

It is an interprime number because it is at equal distance from previous prime (125087749) and next prime (125087771).

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

It is an unprimeable number.

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, 10984 + ... + 19256.

It is an arithmetic number, because the mean of its divisors is an integer number (3077928).

Almost surely, 2^125087760 is an apocalyptic number.

125087760 is a gapful number since it is divisible by the number (10) 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 125087760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246234240).

125087760 is an abundant number, since it is smaller than the sum of its proper divisors (367380720).

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

125087760 is a wasteful number, since it uses less digits than its factorization.

125087760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 125087760 is about 11184.2639453833. The cubic root of 125087760 is about 500.1169859598.

The spelling of 125087760 in words is "one hundred twenty-five million, eighty-seven thousand, seven hundred sixty".