90141120 has 112 divisors (see below), whose sum is σ = 318028320. Its totient is φ = 24035328.

The previous prime is 90141091. The next prime is 90141127. The reversal of 90141120 is 2114109.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 90141093 and 90141102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90141127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3424 + ... + 13856.

Almost surely, 2^90141120 is an apocalyptic number.

90141120 is a gapful number since it is divisible by the number (90) 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 90141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159014160).

90141120 is an abundant number, since it is smaller than the sum of its proper divisors (227887200).

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

90141120 is a wasteful number, since it uses less digits than its factorization.

90141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10459 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 90141120 is about 9494.2677442760. The cubic root of 90141120 is about 448.3745804271.

Adding to 90141120 its reverse (2114109), we get a palindrome (92255229).

The spelling of 90141120 in words is "ninety million, one hundred forty-one thousand, one hundred twenty".