146288520 has 144 divisors (see below), whose sum is σ = 553126860. Its totient is φ = 33433344.

The previous prime is 146288509. The next prime is 146288591. The reversal of 146288520 is 25882641.

146288520 is a `hidden beast` number, since 1 + 4 + 628 + 8 + 5 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139287204 + 7001316 = 11802^2 + 2646^2 .

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 35 ways as a sum of consecutive naturals, for example, 13494 + ... + 21786.

Almost surely, 2^146288520 is an apocalyptic number.

146288520 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 146288520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276563430).

146288520 is an abundant number, since it is smaller than the sum of its proper divisors (406838340).

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

146288520 is a wasteful number, since it uses less digits than its factorization.

146288520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8310 counting only the distinct ones).

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

The square root of 146288520 is about 12094.9791235868. The cubic root of 146288520 is about 526.9103734224.

It can be divided in two parts, 1462885 and 20, that added together give a triangular number (1462905 = T₁₇₁₀).

The spelling of 146288520 in words is "one hundred forty-six million, two hundred eighty-eight thousand, five hundred twenty".