146520 has 96 divisors (see below), whose sum is σ = 533520. Its totient is φ = 34560.

The previous prime is 146519. The next prime is 146521. The reversal of 146520 is 25641.

146520 = T₄₅ + T₄₆ + ... + T₉₈.

It is a happy number.

146520 is a `hidden beast` number, since 14 + 652 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146519) and next prime (146521).

It is a super-2 number, since 2×146520² = 42936220800, which contains 22 as substring.

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 = 146493 and 146502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3942 + ... + 3978.

146520 is a Friedman number, since it can be written as 6105*24, using all its digits and the basic arithmetic operations.

2¹⁴⁶⁵²⁰ is an apocalyptic number.

146520 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 146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266760).

146520 is an abundant number, since it is smaller than the sum of its proper divisors (387000).

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

146520 is a wasteful number, since it uses less digits than its factorization.

146520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 146520 is about 382.7793097857. The cubic root of 146520 is about 52.7188146271.

It can be divided in two parts, 1465 and 20, that added together give a triangular number (1485 = T₅₄).

The spelling of 146520 in words is "one hundred forty-six thousand, five hundred twenty".