90345150144 has 140 divisors (see below), whose sum is σ = 267949338624. Its totient is φ = 30099534336.

The previous prime is 90345150107. The next prime is 90345150167. The reversal of 90345150144 is 44105154309.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90345150099 and 90345150108.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 14703937 + ... + 14710079.

Almost surely, 2^90345150144 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 90345150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133974669312).

90345150144 is an abundant number, since it is smaller than the sum of its proper divisors (177604188480).

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

90345150144 is a wasteful number, since it uses less digits than its factorization.

90345150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 90345150144 in words is "ninety billion, three hundred forty-five million, one hundred fifty thousand, one hundred forty-four".