125478720 has 280 divisors, whose sum is σ = 460272384. Its totient is φ = 32431104.

The previous prime is 125478709. The next prime is 125478721. The reversal of 125478720 is 27874521.

125478720 is a `hidden beast` number, since 12 + 547 + 87 + 20 = 666.

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 (125478721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1218189 + ... + 1218291.

Almost surely, 2^125478720 is an apocalyptic number.

125478720 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 125478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230136192).

125478720 is an abundant number, since it is smaller than the sum of its proper divisors (334793664).

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

125478720 is a wasteful number, since it uses less digits than its factorization.

125478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 125478720 is about 11201.7284380581. The cubic root of 125478720 is about 500.6374802258.

The spelling of 125478720 in words is "one hundred twenty-five million, four hundred seventy-eight thousand, seven hundred twenty".