125357760 has 224 divisors, whose sum is σ = 482803200. Its totient is φ = 30366720.

The previous prime is 125357759. The next prime is 125357761. The reversal of 125357760 is 67753521.

125357760 is a `hidden beast` number, since 1 + 25 + 3 + 577 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (125357759) and next prime (125357761).

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 (125357761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94381 + ... + 95699.

Almost surely, 2^125357760 is an apocalyptic number.

125357760 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 125357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241401600).

125357760 is an abundant number, since it is smaller than the sum of its proper divisors (357445440).

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

125357760 is a wasteful number, since it uses less digits than its factorization.

125357760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 125357760 is about 11196.3279694728. The cubic root of 125357760 is about 500.4765589721.

The spelling of 125357760 in words is "one hundred twenty-five million, three hundred fifty-seven thousand, seven hundred sixty".