146556 has 48 divisors (see below), whose sum is σ = 403200. Its totient is φ = 45936.

The previous prime is 146543. The next prime is 146563. The reversal of 146556 is 655641.

It is a happy number.

146556 is a `hidden beast` number, since 1 + 4 + 655 + 6 = 666.

It is a super-2 number, since 2×146556² = 42957322272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2455 + ... + 2513.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

146556 is a Friedman number, since it can be written as 46*(61+5^5), using all its digits and the basic arithmetic operations.

2¹⁴⁶⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

146556 is an abundant number, since it is smaller than the sum of its proper divisors (256644).

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

146556 is a wasteful number, since it uses less digits than its factorization.

146556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 146556 is about 382.8263313828. The cubic root of 146556 is about 52.7231319488.

It can be divided in two parts, 1465 and 56, that added together give a square (1521 = 39²).

The spelling of 146556 in words is "one hundred forty-six thousand, five hundred fifty-six".