125350416 has 75 divisors (see below), whose sum is σ = 363970783. Its totient is φ = 41649120.

The previous prime is 125350411. The next prime is 125350471. The reversal of 125350416 is 614053521.

The square root of 125350416 is 11196.

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

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

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 125350416.

It is not an unprimeable number, because it can be changed into a prime (125350411) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 402901 + ... + 403211.

Almost surely, 2^125350416 is an apocalyptic number.

125350416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125350416 is the 11196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125350416

125350416 is an abundant number, since it is smaller than the sum of its proper divisors (238620367).

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

125350416 is an frugal number, since it uses more digits than its factorization.

125350416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 125350416 is about 500.4667854205.

Multiplying 125350416 by its product of nonzero digits (3600), we get a square (451261497600 = 671760²).

The spelling of 125350416 in words is "one hundred twenty-five million, three hundred fifty thousand, four hundred sixteen".