124880625 has 45 divisors (see below), whose sum is σ = 226929703. Its totient is φ = 66156000.

The previous prime is 124880611. The next prime is 124880627. The reversal of 124880625 is 526088421.

124880625 = 1³ + 2³ + ... + 149³.

The square root of 124880625 is 11175.

It is a perfect power (a square), and thus also a powerful number.

124880625 is a `hidden beast` number, since 1 + 24 + 8 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 124344801 + 535824 = 11151^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2^k-124880625 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 124880625.

It is not an unprimeable number, because it can be changed into a prime (124880627) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 838051 + ... + 838199.

Almost surely, 2^124880625 is an apocalyptic number.

124880625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

124880625 is the 11175-th square number.

124880625 is the 5588-th centered octagonal number.

It is an amenable number.

124880625 is a deficient number, since it is larger than the sum of its proper divisors (102049078).

124880625 is an frugal number, since it uses more digits than its factorization.

124880625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 124880625 is about 499.8407826384.

Multiplying 124880625 by its sum of digits (36), we get a square (4495702500 = 67050²).

The spelling of 124880625 in words is "one hundred twenty-four million, eight hundred eighty thousand, six hundred twenty-five".