146089440 has 192 divisors, whose sum is σ = 584478720. Its totient is φ = 33384960.

The previous prime is 146089421. The next prime is 146089441. The reversal of 146089440 is 44980641.

It is a happy number.

146089440 is a `hidden beast` number, since 1 + 4 + 608 + 9 + 4 + 40 = 666.

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 = 146089395 and 146089404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146089441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27825 + ... + 32655.

It is an arithmetic number, because the mean of its divisors is an integer number (3044160).

Almost surely, 2^146089440 is an apocalyptic number.

146089440 is a gapful number since it is divisible by the number (10) 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 146089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292239360).

146089440 is an abundant number, since it is smaller than the sum of its proper divisors (438389280).

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

146089440 is a wasteful number, since it uses less digits than its factorization.

146089440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146089440 is about 12086.7464604831. The cubic root of 146089440 is about 526.6712456651.

The spelling of 146089440 in words is "one hundred forty-six million, eighty-nine thousand, four hundred forty".