145368 has 32 divisors (see below), whose sum is σ = 404400. Its totient is φ = 48384.

The previous prime is 145361. The next prime is 145381. The reversal of 145368 is 863541.

It is a super-2 number, since 2×145368² = 42263710848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 145368.

It is not an unprimeable number, because it can be changed into a prime (145361) by changing a digit.

145368 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 7 ways as a sum of consecutive naturals, for example, 121 + ... + 552.

2¹⁴⁵³⁶⁸ is an apocalyptic number.

145368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145368 is an abundant number, since it is smaller than the sum of its proper divisors (259032).

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

145368 is a wasteful number, since it uses less digits than its factorization.

145368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 145368 is about 381.2715567676. The cubic root of 145368 is about 52.5802853248.

It can be divided in two parts, 1453 and 68, that added together give a square (1521 = 39²).

The spelling of 145368 in words is "one hundred forty-five thousand, three hundred sixty-eight".