90009000144 has 280 divisors, whose sum is σ = 299592943872. Its totient is φ = 25650535680.

The previous prime is 90009000131. The next prime is 90009000157. The reversal of 90009000144 is 44100090009.

It is an interprime number because it is at equal distance from previous prime (90009000131) and next prime (90009000157).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 37801834 + ... + 37804214.

Almost surely, 2^90009000144 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 90009000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149796471936).

90009000144 is an abundant number, since it is smaller than the sum of its proper divisors (209583943728).

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

90009000144 is a wasteful number, since it uses less digits than its factorization.

90009000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 90009000144 in words is "ninety billion, nine million, one hundred forty-four", and thus it is an aban number.