90145231204 has 144 divisors (see below), whose sum is σ = 194760007680. Its totient is φ = 36350233920.

The previous prime is 90145231201. The next prime is 90145231243. The reversal of 90145231204 is 40213254109.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (90145231201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 32158867 + ... + 32161669.

Almost surely, 2^90145231204 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 90145231204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97380003840).

90145231204 is an abundant number, since it is smaller than the sum of its proper divisors (104614776476).

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

90145231204 is a wasteful number, since it uses less digits than its factorization.

90145231204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 90145231204 in words is "ninety billion, one hundred forty-five million, two hundred thirty-one thousand, two hundred four".