125527680 has 384 divisors, whose sum is σ = 483724800. Its totient is φ = 29859840.

The previous prime is 125527673. The next prime is 125527681. The reversal of 125527680 is 86725521.

It is a happy number.

125527680 is a `hidden beast` number, since 125 + 527 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (125527681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3392622 + ... + 3392658.

It is an arithmetic number, because the mean of its divisors is an integer number (1259700).

Almost surely, 2^125527680 is an apocalyptic number.

125527680 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 125527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241862400).

125527680 is an abundant number, since it is smaller than the sum of its proper divisors (358197120).

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

125527680 is a wasteful number, since it uses less digits than its factorization.

125527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 125527680 is about 11203.9136019518. The cubic root of 125527680 is about 500.7025856178.

The spelling of 125527680 in words is "one hundred twenty-five million, five hundred twenty-seven thousand, six hundred eighty".