146045088 has 216 divisors, whose sum is σ = 492972480. Its totient is φ = 40884480.

The previous prime is 146045087. The next prime is 146045089. The reversal of 146045088 is 880540641.

146045088 is a `hidden beast` number, since 146 + 0 + 4 + 508 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (146045087) and next prime (146045089).

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

It is not an unprimeable number, because it can be changed into a prime (146045087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1114783 + ... + 1114913.

It is an arithmetic number, because the mean of its divisors is an integer number (2282280).

Almost surely, 2^146045088 is an apocalyptic number.

146045088 is a gapful number since it is divisible by the number (18) 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 146045088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246486240).

146045088 is an abundant number, since it is smaller than the sum of its proper divisors (346927392).

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

146045088 is a wasteful number, since it uses less digits than its factorization.

146045088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 146045088 is about 12084.9115842856. The cubic root of 146045088 is about 526.6179420465.

The spelling of 146045088 in words is "one hundred forty-six million, forty-five thousand, eighty-eight".