145792 has 32 divisors (see below), whose sum is σ = 312120. Its totient is φ = 67584.

The previous prime is 145777. The next prime is 145799. The reversal of 145792 is 297541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 145792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145799) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2143 + ... + 2209.

2¹⁴⁵⁷⁹² 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 145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156060).

145792 is an abundant number, since it is smaller than the sum of its proper divisors (166328).

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

145792 is an equidigital number, since it uses as much as digits as its factorization.

145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 145792 is about 381.8271860410. The cubic root of 145792 is about 52.6313566306.

The spelling of 145792 in words is "one hundred forty-five thousand, seven hundred ninety-two".