75138900 has 108 divisors (see below), whose sum is σ = 225110592. Its totient is φ = 19342080.

The previous prime is 75138871. The next prime is 75138961. The reversal of 75138900 is 983157.

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 35 ways as a sum of consecutive naturals, for example, 1029264 + ... + 1029336.

Almost surely, 2^75138900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112555296).

75138900 is an abundant number, since it is smaller than the sum of its proper divisors (149971692).

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

75138900 is a wasteful number, since it uses less digits than its factorization.

75138900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 75138900 is about 8668.2697235377. The cubic root of 75138900 is about 421.9765116491.

The spelling of 75138900 in words is "seventy-five million, one hundred thirty-eight thousand, nine hundred".