145620 has 36 divisors (see below), whose sum is σ = 442260. Its totient is φ = 38784.

The previous prime is 145603. The next prime is 145633. The reversal of 145620 is 26541.

It is a happy number.

145620 is a `hidden beast` number, since 1 + 45 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 51984 = 306^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 145593 and 145602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2¹⁴⁵⁶²⁰ is an apocalyptic number.

145620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145620 is an abundant number, since it is smaller than the sum of its proper divisors (296640).

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

145620 is a wasteful number, since it uses less digits than its factorization.

145620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 819 counting only the distinct ones).

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

The square root of 145620 is about 381.6018867878. The cubic root of 145620 is about 52.6106509777.

The spelling of 145620 in words is "one hundred forty-five thousand, six hundred twenty".