147638900 has 36 divisors (see below), whose sum is σ = 321086220. Its totient is φ = 58924800.

The previous prime is 147638899. The next prime is 147638927. The reversal of 147638900 is 9836741.

It can be written as a sum of positive squares in 6 ways, for example, as 1567504 + 146071396 = 1252^2 + 12086^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52736 + ... + 55464.

Almost surely, 2^147638900 is an apocalyptic number.

147638900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147638900 is an abundant number, since it is smaller than the sum of its proper divisors (173447320).

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

147638900 is a wasteful number, since it uses less digits than its factorization.

147638900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 147638900 is about 12150.6748783761. The cubic root of 147638900 is about 528.5267021879.

The spelling of 147638900 in words is "one hundred forty-seven million, six hundred thirty-eight thousand, nine hundred".