90134146224 has 320 divisors, whose sum is σ = 275982336000. Its totient is φ = 28119674880.

The previous prime is 90134146213. The next prime is 90134146237. The reversal of 90134146224 is 42264143109.

90134146224 is a `hidden beast` number, since 9 + 0 + 13 + 4 + 14 + 622 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56017932 + ... + 56019540.

It is an arithmetic number, because the mean of its divisors is an integer number (862444800).

Almost surely, 2^90134146224 is an apocalyptic number.

90134146224 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90134146224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137991168000).

90134146224 is an abundant number, since it is smaller than the sum of its proper divisors (185848189776).

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

90134146224 is a wasteful number, since it uses less digits than its factorization.

90134146224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 90134146224 in words is "ninety billion, one hundred thirty-four million, one hundred forty-six thousand, two hundred twenty-four".