147638125 has 20 divisors (see below), whose sum is σ = 188011692. Its totient is φ = 115856000.

The previous prime is 147638111. The next prime is 147638137. The reversal of 147638125 is 521836741.

It can be written as a sum of positive squares in 10 ways, for example, as 83429956 + 64208169 = 9134^2 + 8013^2 .

It is not a de Polignac number, because 147638125 - 2²⁷ = 13420397 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30897 + ... + 35353.

Almost surely, 2^147638125 is an apocalyptic number.

It is an amenable number.

147638125 is a deficient number, since it is larger than the sum of its proper divisors (40373567).

147638125 is an frugal number, since it uses more digits than its factorization.

147638125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4515 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 147638125 is about 12150.6429871015. The cubic root of 147638125 is about 528.5257773889.

It can be divided in two parts, 1476 and 38125, that added together give a square (39601 = 199²).

The spelling of 147638125 in words is "one hundred forty-seven million, six hundred thirty-eight thousand, one hundred twenty-five".