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145752 = 2336073
BaseRepresentation
bin100011100101011000
321101221020
4203211120
514131002
63042440
71144635
oct434530
9241836
10145752
119a562
1270420
1351459
143b18c
152d2bc
hex23958

145752 has 16 divisors (see below), whose sum is σ = 364440. Its totient is φ = 48576.

The previous prime is 145723. The next prime is 145753. The reversal of 145752 is 257541.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 6073 = 145752 / (1 + 4 + 5 + 7 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145753) 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, 3013 + ... + 3060.

2145752 is an apocalyptic number.

145752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145752 is an abundant number, since it is smaller than the sum of its proper divisors (218688).

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

145752 is a wasteful number, since it uses less digits than its factorization.

145752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6078 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 145752 is about 381.7748027306. The cubic root of 145752 is about 52.6265428164.

It can be divided in two parts, 1 and 45752, that added together give a triangular number (45753 = T302).

The spelling of 145752 in words is "one hundred forty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 6073 12146 18219 24292 36438 48584 72876 145752