125266416 has 80 divisors (see below), whose sum is σ = 358393728. Its totient is φ = 37382400.

The previous prime is 125266409. The next prime is 125266451. The reversal of 125266416 is 614662521.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33606 + ... + 37146.

Almost surely, 2^125266416 is an apocalyptic number.

125266416 is a gapful number since it is divisible by the number (16) 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 125266416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179196864).

125266416 is an abundant number, since it is smaller than the sum of its proper divisors (233127312).

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

125266416 is a wasteful number, since it uses less digits than its factorization.

125266416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3624 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 125266416 is about 11192.2480315618. The cubic root of 125266416 is about 500.3549692673.

The spelling of 125266416 in words is "one hundred twenty-five million, two hundred sixty-six thousand, four hundred sixteen".