125639280 has 240 divisors, whose sum is σ = 470136576. Its totient is φ = 29859840.

The previous prime is 125639273. The next prime is 125639287. The reversal of 125639280 is 82936521.

125639280 is a `hidden beast` number, since 1 + 2 + 563 + 92 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125639273) and next prime (125639287).

It is a tau number, because it is divible by the number of its divisors (240).

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 (125639287) 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, 289944 + ... + 290376.

Almost surely, 2^125639280 is an apocalyptic number.

125639280 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 125639280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235068288).

125639280 is an abundant number, since it is smaller than the sum of its proper divisors (344497296).

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

125639280 is a wasteful number, since it uses less digits than its factorization.

125639280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 125639280 is about 11208.8928980520. The cubic root of 125639280 is about 500.8509243673.

The spelling of 125639280 in words is "one hundred twenty-five million, six hundred thirty-nine thousand, two hundred eighty".