145700 has 36 divisors (see below), whose sum is σ = 333312. Its totient is φ = 55200.

The previous prime is 145687. The next prime is 145703. The reversal of 145700 is 7541.

145700 = 31² + 32² + ... + 77².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (145703) by changing a digit.

145700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3077 + ... + 3123.

2¹⁴⁵⁷⁰⁰ is an apocalyptic number.

145700 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 145700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656).

145700 is an abundant number, since it is smaller than the sum of its proper divisors (187612).

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

145700 is a wasteful number, since it uses less digits than its factorization.

145700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 145700 is about 381.7066936798. The cubic root of 145700 is about 52.6202835409.

It can be divided in two parts, 14 and 5700, that multiplied together give a triangular number (79800 = T₃₉₉).

The spelling of 145700 in words is "one hundred forty-five thousand, seven hundred".