125780160 has 224 divisors, whose sum is σ = 447397632. Its totient is φ = 29675520.

The previous prime is 125780147. The next prime is 125780177. The reversal of 125780160 is 61087521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453942 + ... + 454218.

Almost surely, 2^125780160 is an apocalyptic number.

125780160 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 125780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223698816).

125780160 is an abundant number, since it is smaller than the sum of its proper divisors (321617472).

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

125780160 is a wasteful number, since it uses less digits than its factorization.

125780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 125780160 is about 11215.1754333136. The cubic root of 125780160 is about 501.0380567184.

The spelling of 125780160 in words is "one hundred twenty-five million, seven hundred eighty thousand, one hundred sixty".