125038368 has 216 divisors, whose sum is σ = 441237888. Its totient is φ = 32887296.

The previous prime is 125038357. The next prime is 125038379. The reversal of 125038368 is 863830521.

125038368 is a `hidden beast` number, since 12 + 503 + 83 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (125038357) and next prime (125038379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340521 + ... + 340887.

It is an arithmetic number, because the mean of its divisors is an integer number (2042768).

Almost surely, 2^125038368 is an apocalyptic number.

125038368 is a gapful number since it is divisible by the number (18) 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 125038368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220618944).

125038368 is an abundant number, since it is smaller than the sum of its proper divisors (316199520).

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

125038368 is a wasteful number, since it uses less digits than its factorization.

125038368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 125038368 is about 11182.0556249734. The cubic root of 125038368 is about 500.0511521001.

Adding to 125038368 its reverse (863830521), we get a palindrome (988868889).

The spelling of 125038368 in words is "one hundred twenty-five million, thirty-eight thousand, three hundred sixty-eight".