125083332 has 96 divisors (see below), whose sum is σ = 356160000. Its totient is φ = 37648800.

The previous prime is 125083291. The next prime is 125083369. The reversal of 125083332 is 233380521.

125083332 is a `hidden beast` number, since 1 + 250 + 83 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 125083296 and 125083305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250419 + ... + 250917.

It is an arithmetic number, because the mean of its divisors is an integer number (3710000).

Almost surely, 2^125083332 is an apocalyptic number.

125083332 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 125083332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178080000).

125083332 is an abundant number, since it is smaller than the sum of its proper divisors (231076668).

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

125083332 is a wasteful number, since it uses less digits than its factorization.

125083332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 125083332 is about 11184.0659869298. The cubic root of 125083332 is about 500.1110846519. Note that the first 3 decimals are identical.

The spelling of 125083332 in words is "one hundred twenty-five million, eighty-three thousand, three hundred thirty-two".