145600 has 84 divisors (see below), whose sum is σ = 440944. Its totient is φ = 46080.

The previous prime is 145589. The next prime is 145601. The reversal of 145600 is 6541.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (145601) by changing a digit.

145600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11194 + ... + 11206.

2¹⁴⁵⁶⁰⁰ is an apocalyptic number.

145600 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 145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220472).

145600 is an abundant number, since it is smaller than the sum of its proper divisors (295344).

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

145600 is a wasteful number, since it uses less digits than its factorization.

145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 145600 is about 381.5756805668. The cubic root of 145600 is about 52.6082422857.

It can be divided in two parts, 14 and 5600, that multiplied together give a square (78400 = 280²).

The spelling of 145600 in words is "one hundred forty-five thousand, six hundred".