124868952 has 160 divisors (see below), whose sum is σ = 384402480. Its totient is φ = 37791360.

The previous prime is 124868951. The next prime is 124868971. The reversal of 124868952 is 259868421.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 124868952 = 153³ + 495³ = 216³ + 486³.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 124868898 and 124868907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124868951) 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, 2047002 + ... + 2047062.

Almost surely, 2^124868952 is an apocalyptic number.

124868952 is a gapful number since it is divisible by the number (12) 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 124868952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192201240).

124868952 is an abundant number, since it is smaller than the sum of its proper divisors (259533528).

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

124868952 is an frugal number, since it uses more digits than its factorization.

124868952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 124868952 is about 11174.4777059154. The cubic root of 124868952 is about 499.8252082361.

The spelling of 124868952 in words is "one hundred twenty-four million, eight hundred sixty-eight thousand, nine hundred fifty-two".