145992 has 64 divisors (see below), whose sum is σ = 460800. Its totient is φ = 37440.

The previous prime is 145991. The next prime is 146009. The reversal of 145992 is 299541.

It is a happy number.

It is a super-3 number, since 3×145992³ = 9334873332094464, which contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145992.

It is not an unprimeable number, because it can be changed into a prime (145991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1809 + ... + 1887.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2¹⁴⁵⁹⁹² is an apocalyptic number.

145992 is a gapful number since it is divisible by the number (12) 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 145992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400).

145992 is an abundant number, since it is smaller than the sum of its proper divisors (314808).

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

145992 is a wasteful number, since it uses less digits than its factorization.

145992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 145992 is about 382.0889948690. The cubic root of 145992 is about 52.6554125039.

It can be divided in two parts, 1459 and 92, that added together give a palindrome (1551).

The spelling of 145992 in words is "one hundred forty-five thousand, nine hundred ninety-two".